What is the Least Common Multiple of 70634 and 70648?

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 70634 and 70648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70634 and 70648, than apply into the LCM equation.

GCF(70634,70648) = 2
LCM(70634,70648) = ( 70634 × 70648) / 2
LCM(70634,70648) = 4990150832 / 2
LCM(70634,70648) = 2495075416

Least Common Multiple (LCM) of 70634 and 70648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70634 and 70648. First we will calculate the prime factors of 70634 and 70648.

Prime Factorization of 70634

Prime Factorization of 70648

Now multiplying the highest exponent prime factors to calculate the LCM of 70634 and 70648.

LCM(70634,70648) = 2³ × 35317¹ × 8831¹
LCM(70634,70648) = 2495075416