What is the Least Common Multiple of 77964 and 77977?

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 77977 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 77977, than apply into the LCM equation.

GCF(77964,77977) = 1
LCM(77964,77977) = ( 77964 × 77977) / 1
LCM(77964,77977) = 6079398828 / 1
LCM(77964,77977) = 6079398828

Least Common Multiple (LCM) of 77964 and 77977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77964 and 77977. First we will calculate the prime factors of 77964 and 77977.

Prime Factorization of 77964

Prime Factorization of 77977

Now multiplying the highest exponent prime factors to calculate the LCM of 77964 and 77977.

LCM(77964,77977) = 2² × 3¹ × 73¹ × 89¹ × 77977¹
LCM(77964,77977) = 6079398828