What is the Least Common Multiple of 70596 and 70608?

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 70596 and 70608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70596 and 70608, than apply into the LCM equation.

GCF(70596,70608) = 12
LCM(70596,70608) = ( 70596 × 70608) / 12
LCM(70596,70608) = 4984642368 / 12
LCM(70596,70608) = 415386864

Least Common Multiple (LCM) of 70596 and 70608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70596 and 70608. First we will calculate the prime factors of 70596 and 70608.

Prime Factorization of 70596

Prime Factorization of 70608

Now multiplying the highest exponent prime factors to calculate the LCM of 70596 and 70608.

LCM(70596,70608) = 2⁴ × 3² × 37¹ × 53¹ × 1471¹
LCM(70596,70608) = 415386864