What is the Least Common Multiple of 67548 and 67552?
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 67548 and 67552 is 1140750624.
LCM(67548,67552) = 1140750624
Least Common Multiple of 67548 and 67552 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67548 and 67552, than apply into the LCM equation.
GCF(67548,67552) = 4
LCM(67548,67552) = ( 67548 × 67552) / 4
LCM(67548,67552) = 4563002496 / 4
LCM(67548,67552) = 1140750624
Least Common Multiple (LCM) of 67548 and 67552 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67548 and 67552. First we will calculate the prime factors of 67548 and 67552.
Prime Factorization of 67548
Prime factors of 67548 are 2, 3, 13, 433. Prime factorization of 67548 in exponential form is:
67548 = 22 × 31 × 131 × 4331
Prime Factorization of 67552
Prime factors of 67552 are 2, 2111. Prime factorization of 67552 in exponential form is:
67552 = 25 × 21111
Now multiplying the highest exponent prime factors to calculate the LCM of 67548 and 67552.
LCM(67548,67552) = 25 × 31 × 131 × 4331 × 21111
LCM(67548,67552) = 1140750624
Related Least Common Multiples of 67548
- LCM of 67548 and 67552
- LCM of 67548 and 67553
- LCM of 67548 and 67554
- LCM of 67548 and 67555
- LCM of 67548 and 67556
- LCM of 67548 and 67557
- LCM of 67548 and 67558
- LCM of 67548 and 67559
- LCM of 67548 and 67560
- LCM of 67548 and 67561
- LCM of 67548 and 67562
- LCM of 67548 and 67563
- LCM of 67548 and 67564
- LCM of 67548 and 67565
- LCM of 67548 and 67566
- LCM of 67548 and 67567
- LCM of 67548 and 67568
Related Least Common Multiples of 67552
- LCM of 67552 and 67556
- LCM of 67552 and 67557
- LCM of 67552 and 67558
- LCM of 67552 and 67559
- LCM of 67552 and 67560
- LCM of 67552 and 67561
- LCM of 67552 and 67562
- LCM of 67552 and 67563
- LCM of 67552 and 67564
- LCM of 67552 and 67565
- LCM of 67552 and 67566
- LCM of 67552 and 67567
- LCM of 67552 and 67568
- LCM of 67552 and 67569
- LCM of 67552 and 67570
- LCM of 67552 and 67571
- LCM of 67552 and 67572