What is the Least Common Multiple of 77960 and 77967?

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 77960 and 77967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77960 and 77967, than apply into the LCM equation.

GCF(77960,77967) = 1
LCM(77960,77967) = ( 77960 × 77967) / 1
LCM(77960,77967) = 6078307320 / 1
LCM(77960,77967) = 6078307320

Least Common Multiple (LCM) of 77960 and 77967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77960 and 77967. First we will calculate the prime factors of 77960 and 77967.

Prime Factorization of 77960

Prime Factorization of 77967

Now multiplying the highest exponent prime factors to calculate the LCM of 77960 and 77967.

LCM(77960,77967) = 2³ × 5¹ × 1949¹ × 3² × 8663¹
LCM(77960,77967) = 6078307320