What is the Least Common Multiple of 94612 and 94625?
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 94612 and 94625 is 8952660500.
LCM(94612,94625) = 8952660500
Least Common Multiple of 94612 and 94625 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94612 and 94625, than apply into the LCM equation.
GCF(94612,94625) = 1
LCM(94612,94625) = ( 94612 × 94625) / 1
LCM(94612,94625) = 8952660500 / 1
LCM(94612,94625) = 8952660500
Least Common Multiple (LCM) of 94612 and 94625 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94612 and 94625. First we will calculate the prime factors of 94612 and 94625.
Prime Factorization of 94612
Prime factors of 94612 are 2, 7, 31, 109. Prime factorization of 94612 in exponential form is:
94612 = 22 × 71 × 311 × 1091
Prime Factorization of 94625
Prime factors of 94625 are 5, 757. Prime factorization of 94625 in exponential form is:
94625 = 53 × 7571
Now multiplying the highest exponent prime factors to calculate the LCM of 94612 and 94625.
LCM(94612,94625) = 22 × 71 × 311 × 1091 × 53 × 7571
LCM(94612,94625) = 8952660500
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