What is the Least Common Multiple of 70645 and 70660?

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 70645 and 70660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70645 and 70660, than apply into the LCM equation.

GCF(70645,70660) = 5
LCM(70645,70660) = ( 70645 × 70660) / 5
LCM(70645,70660) = 4991775700 / 5
LCM(70645,70660) = 998355140

Least Common Multiple (LCM) of 70645 and 70660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70645 and 70660. First we will calculate the prime factors of 70645 and 70660.

Prime Factorization of 70645

Prime Factorization of 70660

Now multiplying the highest exponent prime factors to calculate the LCM of 70645 and 70660.

LCM(70645,70660) = 5¹ × 71¹ × 199¹ × 2² × 3533¹
LCM(70645,70660) = 998355140