What is the Least Common Multiple of 70602 and 70609?

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 70609 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 70609, than apply into the LCM equation.

GCF(70602,70609) = 7
LCM(70602,70609) = ( 70602 × 70609) / 7
LCM(70602,70609) = 4985136618 / 7
LCM(70602,70609) = 712162374

Least Common Multiple (LCM) of 70602 and 70609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70602 and 70609. First we will calculate the prime factors of 70602 and 70609.

Prime Factorization of 70602

Prime Factorization of 70609

Now multiplying the highest exponent prime factors to calculate the LCM of 70602 and 70609.

LCM(70602,70609) = 2¹ × 3¹ × 7² × 41² × 11¹ × 131¹
LCM(70602,70609) = 712162374