What is the Least Common Multiple of 71938 and 71952?

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 71938 and 71952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71938 and 71952, than apply into the LCM equation.

GCF(71938,71952) = 2
LCM(71938,71952) = ( 71938 × 71952) / 2
LCM(71938,71952) = 5176082976 / 2
LCM(71938,71952) = 2588041488

Least Common Multiple (LCM) of 71938 and 71952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71938 and 71952. First we will calculate the prime factors of 71938 and 71952.

Prime Factorization of 71938

Prime Factorization of 71952

Now multiplying the highest exponent prime factors to calculate the LCM of 71938 and 71952.

LCM(71938,71952) = 2⁴ × 35969¹ × 3¹ × 1499¹
LCM(71938,71952) = 2588041488