What is the Least Common Multiple of 77964 and 77973?

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 77964 and 77973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77964 and 77973, than apply into the LCM equation.

GCF(77964,77973) = 3
LCM(77964,77973) = ( 77964 × 77973) / 3
LCM(77964,77973) = 6079086972 / 3
LCM(77964,77973) = 2026362324

Least Common Multiple (LCM) of 77964 and 77973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77964 and 77973. First we will calculate the prime factors of 77964 and 77973.

Prime Factorization of 77964

Prime Factorization of 77973

Now multiplying the highest exponent prime factors to calculate the LCM of 77964 and 77973.

LCM(77964,77973) = 2² × 3¹ × 73¹ × 89¹ × 7¹ × 47¹ × 79¹
LCM(77964,77973) = 2026362324