What is the Least Common Multiple of 79952 and 79964?

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 79952 and 79964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79952 and 79964, than apply into the LCM equation.

GCF(79952,79964) = 4
LCM(79952,79964) = ( 79952 × 79964) / 4
LCM(79952,79964) = 6393281728 / 4
LCM(79952,79964) = 1598320432

Least Common Multiple (LCM) of 79952 and 79964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79952 and 79964. First we will calculate the prime factors of 79952 and 79964.

Prime Factorization of 79952

Prime Factorization of 79964

Now multiplying the highest exponent prime factors to calculate the LCM of 79952 and 79964.

LCM(79952,79964) = 2⁴ × 19¹ × 263¹ × 19991¹
LCM(79952,79964) = 1598320432