What is the Least Common Multiple of 71964 and 71973?

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 71973 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 71973, than apply into the LCM equation.

GCF(71964,71973) = 9
LCM(71964,71973) = ( 71964 × 71973) / 9
LCM(71964,71973) = 5179464972 / 9
LCM(71964,71973) = 575496108

Least Common Multiple (LCM) of 71964 and 71973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71964 and 71973. First we will calculate the prime factors of 71964 and 71973.

Prime Factorization of 71964

Prime Factorization of 71973

Now multiplying the highest exponent prime factors to calculate the LCM of 71964 and 71973.

LCM(71964,71973) = 2² × 3² × 1999¹ × 11¹ × 727¹
LCM(71964,71973) = 575496108