What is the Least Common Multiple of 71506 and 71524?

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 71506 and 71524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71506 and 71524, than apply into the LCM equation.

GCF(71506,71524) = 2
LCM(71506,71524) = ( 71506 × 71524) / 2
LCM(71506,71524) = 5114395144 / 2
LCM(71506,71524) = 2557197572

Least Common Multiple (LCM) of 71506 and 71524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71506 and 71524. First we will calculate the prime factors of 71506 and 71524.

Prime Factorization of 71506

Prime Factorization of 71524

Now multiplying the highest exponent prime factors to calculate the LCM of 71506 and 71524.

LCM(71506,71524) = 2² × 35753¹ × 17881¹
LCM(71506,71524) = 2557197572