What is the Least Common Multiple of 71964 and 71974?

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 71964 and 71974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71964 and 71974, than apply into the LCM equation.

GCF(71964,71974) = 2
LCM(71964,71974) = ( 71964 × 71974) / 2
LCM(71964,71974) = 5179536936 / 2
LCM(71964,71974) = 2589768468

Least Common Multiple (LCM) of 71964 and 71974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71964 and 71974. First we will calculate the prime factors of 71964 and 71974.

Prime Factorization of 71964

Prime Factorization of 71974

Now multiplying the highest exponent prime factors to calculate the LCM of 71964 and 71974.

LCM(71964,71974) = 2² × 3² × 1999¹ × 7¹ × 53¹ × 97¹
LCM(71964,71974) = 2589768468