What is the Least Common Multiple of 71952 and 71956?

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 71952 and 71956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71952 and 71956, than apply into the LCM equation.

GCF(71952,71956) = 4
LCM(71952,71956) = ( 71952 × 71956) / 4
LCM(71952,71956) = 5177378112 / 4
LCM(71952,71956) = 1294344528

Least Common Multiple (LCM) of 71952 and 71956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71952 and 71956. First we will calculate the prime factors of 71952 and 71956.

Prime Factorization of 71952

Prime Factorization of 71956

Now multiplying the highest exponent prime factors to calculate the LCM of 71952 and 71956.

LCM(71952,71956) = 2⁴ × 3¹ × 1499¹ × 17989¹
LCM(71952,71956) = 1294344528