What is the Least Common Multiple of 70612 and 70618?
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 70612 and 70618 is 2493239108.
LCM(70612,70618) = 2493239108
Least Common Multiple of 70612 and 70618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70612 and 70618, than apply into the LCM equation.
GCF(70612,70618) = 2
LCM(70612,70618) = ( 70612 × 70618) / 2
LCM(70612,70618) = 4986478216 / 2
LCM(70612,70618) = 2493239108
Least Common Multiple (LCM) of 70612 and 70618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70612 and 70618. First we will calculate the prime factors of 70612 and 70618.
Prime Factorization of 70612
Prime factors of 70612 are 2, 127, 139. Prime factorization of 70612 in exponential form is:
70612 = 22 × 1271 × 1391
Prime Factorization of 70618
Prime factors of 70618 are 2, 17, 31, 67. Prime factorization of 70618 in exponential form is:
70618 = 21 × 171 × 311 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 70612 and 70618.
LCM(70612,70618) = 22 × 1271 × 1391 × 171 × 311 × 671
LCM(70612,70618) = 2493239108
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