What is the Least Common Multiple of 30346 and 30360?
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 30346 and 30360 is 460652280.
LCM(30346,30360) = 460652280
Least Common Multiple of 30346 and 30360 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30346 and 30360, than apply into the LCM equation.
GCF(30346,30360) = 2
LCM(30346,30360) = ( 30346 × 30360) / 2
LCM(30346,30360) = 921304560 / 2
LCM(30346,30360) = 460652280
Least Common Multiple (LCM) of 30346 and 30360 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30346 and 30360. First we will calculate the prime factors of 30346 and 30360.
Prime Factorization of 30346
Prime factors of 30346 are 2, 15173. Prime factorization of 30346 in exponential form is:
30346 = 21 × 151731
Prime Factorization of 30360
Prime factors of 30360 are 2, 3, 5, 11, 23. Prime factorization of 30360 in exponential form is:
30360 = 23 × 31 × 51 × 111 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 30346 and 30360.
LCM(30346,30360) = 23 × 151731 × 31 × 51 × 111 × 231
LCM(30346,30360) = 460652280
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