What is the Least Common Multiple of 48546 and 48552?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 48546 and 48552 is 392834232.
LCM(48546,48552) = 392834232
Least Common Multiple of 48546 and 48552 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48546 and 48552, than apply into the LCM equation.
GCF(48546,48552) = 6
LCM(48546,48552) = ( 48546 × 48552) / 6
LCM(48546,48552) = 2357005392 / 6
LCM(48546,48552) = 392834232
Least Common Multiple (LCM) of 48546 and 48552 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48546 and 48552. First we will calculate the prime factors of 48546 and 48552.
Prime Factorization of 48546
Prime factors of 48546 are 2, 3, 29, 31. Prime factorization of 48546 in exponential form is:
48546 = 21 × 33 × 291 × 311
Prime Factorization of 48552
Prime factors of 48552 are 2, 3, 7, 17. Prime factorization of 48552 in exponential form is:
48552 = 23 × 31 × 71 × 172
Now multiplying the highest exponent prime factors to calculate the LCM of 48546 and 48552.
LCM(48546,48552) = 23 × 33 × 291 × 311 × 71 × 172
LCM(48546,48552) = 392834232
Related Least Common Multiples of 48546
- LCM of 48546 and 48550
- LCM of 48546 and 48551
- LCM of 48546 and 48552
- LCM of 48546 and 48553
- LCM of 48546 and 48554
- LCM of 48546 and 48555
- LCM of 48546 and 48556
- LCM of 48546 and 48557
- LCM of 48546 and 48558
- LCM of 48546 and 48559
- LCM of 48546 and 48560
- LCM of 48546 and 48561
- LCM of 48546 and 48562
- LCM of 48546 and 48563
- LCM of 48546 and 48564
- LCM of 48546 and 48565
- LCM of 48546 and 48566
Related Least Common Multiples of 48552
- LCM of 48552 and 48556
- LCM of 48552 and 48557
- LCM of 48552 and 48558
- LCM of 48552 and 48559
- LCM of 48552 and 48560
- LCM of 48552 and 48561
- LCM of 48552 and 48562
- LCM of 48552 and 48563
- LCM of 48552 and 48564
- LCM of 48552 and 48565
- LCM of 48552 and 48566
- LCM of 48552 and 48567
- LCM of 48552 and 48568
- LCM of 48552 and 48569
- LCM of 48552 and 48570
- LCM of 48552 and 48571
- LCM of 48552 and 48572