What is the Least Common Multiple of 70614 and 70628?

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 of 70614 and 70628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70614 and 70628, than apply into the LCM equation.

GCF(70614,70628) = 2
LCM(70614,70628) = ( 70614 × 70628) / 2
LCM(70614,70628) = 4987325592 / 2
LCM(70614,70628) = 2493662796

Least Common Multiple (LCM) of 70614 and 70628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70614 and 70628. First we will calculate the prime factors of 70614 and 70628.

Prime Factorization of 70614

Prime Factorization of 70628

Now multiplying the highest exponent prime factors to calculate the LCM of 70614 and 70628.

LCM(70614,70628) = 2² × 3² × 3923¹ × 17657¹
LCM(70614,70628) = 2493662796