What is the Least Common Multiple of 71971 and 71976?

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 71971 and 71976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71971 and 71976, than apply into the LCM equation.

GCF(71971,71976) = 1
LCM(71971,71976) = ( 71971 × 71976) / 1
LCM(71971,71976) = 5180184696 / 1
LCM(71971,71976) = 5180184696

Least Common Multiple (LCM) of 71971 and 71976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71971 and 71976. First we will calculate the prime factors of 71971 and 71976.

Prime Factorization of 71971

Prime Factorization of 71976

Now multiplying the highest exponent prime factors to calculate the LCM of 71971 and 71976.

LCM(71971,71976) = 71971¹ × 2³ × 3¹ × 2999¹
LCM(71971,71976) = 5180184696