What is the Least Common Multiple of 78960 and 78977?

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 78960 and 78977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78960 and 78977, than apply into the LCM equation.

GCF(78960,78977) = 1
LCM(78960,78977) = ( 78960 × 78977) / 1
LCM(78960,78977) = 6236023920 / 1
LCM(78960,78977) = 6236023920

Least Common Multiple (LCM) of 78960 and 78977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78960 and 78977. First we will calculate the prime factors of 78960 and 78977.

Prime Factorization of 78960

Prime Factorization of 78977

Now multiplying the highest exponent prime factors to calculate the LCM of 78960 and 78977.

LCM(78960,78977) = 2⁴ × 3¹ × 5¹ × 7¹ × 47¹ × 78977¹
LCM(78960,78977) = 6236023920