What is the Least Common Multiple of 83952 and 83972?

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 83952 and 83972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83952 and 83972, than apply into the LCM equation.

GCF(83952,83972) = 4
LCM(83952,83972) = ( 83952 × 83972) / 4
LCM(83952,83972) = 7049617344 / 4
LCM(83952,83972) = 1762404336

Least Common Multiple (LCM) of 83952 and 83972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83952 and 83972. First we will calculate the prime factors of 83952 and 83972.

Prime Factorization of 83952

Prime Factorization of 83972

Now multiplying the highest exponent prime factors to calculate the LCM of 83952 and 83972.

LCM(83952,83972) = 2⁴ × 3² × 11¹ × 53¹ × 7¹ × 2999¹
LCM(83952,83972) = 1762404336