What is the Least Common Multiple of 70966 and 70984?

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 70966 and 70984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70966 and 70984, than apply into the LCM equation.

GCF(70966,70984) = 2
LCM(70966,70984) = ( 70966 × 70984) / 2
LCM(70966,70984) = 5037450544 / 2
LCM(70966,70984) = 2518725272

Least Common Multiple (LCM) of 70966 and 70984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70966 and 70984. First we will calculate the prime factors of 70966 and 70984.

Prime Factorization of 70966

Prime Factorization of 70984

Now multiplying the highest exponent prime factors to calculate the LCM of 70966 and 70984.

LCM(70966,70984) = 2³ × 7¹ × 37¹ × 137¹ × 19¹ × 467¹
LCM(70966,70984) = 2518725272