What is the Least Common Multiple of 64960 and 64978?

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 64960 and 64978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64960 and 64978, than apply into the LCM equation.

GCF(64960,64978) = 2
LCM(64960,64978) = ( 64960 × 64978) / 2
LCM(64960,64978) = 4220970880 / 2
LCM(64960,64978) = 2110485440

Least Common Multiple (LCM) of 64960 and 64978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64960 and 64978. First we will calculate the prime factors of 64960 and 64978.

Prime Factorization of 64960

Prime Factorization of 64978

Now multiplying the highest exponent prime factors to calculate the LCM of 64960 and 64978.

LCM(64960,64978) = 2⁶ × 5¹ × 7¹ × 29¹ × 53¹ × 613¹
LCM(64960,64978) = 2110485440