What is the Least Common Multiple of 70602 and 70622?

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 70602 and 70622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70602 and 70622, than apply into the LCM equation.

GCF(70602,70622) = 2
LCM(70602,70622) = ( 70602 × 70622) / 2
LCM(70602,70622) = 4986054444 / 2
LCM(70602,70622) = 2493027222

Least Common Multiple (LCM) of 70602 and 70622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70602 and 70622. First we will calculate the prime factors of 70602 and 70622.

Prime Factorization of 70602

Prime Factorization of 70622

Now multiplying the highest exponent prime factors to calculate the LCM of 70602 and 70622.

LCM(70602,70622) = 2¹ × 3¹ × 7¹ × 41² × 35311¹
LCM(70602,70622) = 2493027222