What is the Least Common Multiple of 71976 and 71988?

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 71976 and 71988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71976 and 71988, than apply into the LCM equation.

GCF(71976,71988) = 12
LCM(71976,71988) = ( 71976 × 71988) / 12
LCM(71976,71988) = 5181408288 / 12
LCM(71976,71988) = 431784024

Least Common Multiple (LCM) of 71976 and 71988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71976 and 71988. First we will calculate the prime factors of 71976 and 71988.

Prime Factorization of 71976

Prime Factorization of 71988

Now multiplying the highest exponent prime factors to calculate the LCM of 71976 and 71988.

LCM(71976,71988) = 2³ × 3¹ × 2999¹ × 7¹ × 857¹
LCM(71976,71988) = 431784024