What is the Least Common Multiple of 4964 and 4978?

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 4964 and 4978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4964 and 4978, than apply into the LCM equation.

GCF(4964,4978) = 2
LCM(4964,4978) = ( 4964 × 4978) / 2
LCM(4964,4978) = 24710792 / 2
LCM(4964,4978) = 12355396

Least Common Multiple (LCM) of 4964 and 4978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4964 and 4978. First we will calculate the prime factors of 4964 and 4978.

Prime Factorization of 4964

Prime Factorization of 4978

Now multiplying the highest exponent prime factors to calculate the LCM of 4964 and 4978.

LCM(4964,4978) = 2² × 17¹ × 73¹ × 19¹ × 131¹
LCM(4964,4978) = 12355396