What is the Least Common Multiple of 34976 and 34980?

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 34976 and 34980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34976 and 34980, than apply into the LCM equation.

GCF(34976,34980) = 4
LCM(34976,34980) = ( 34976 × 34980) / 4
LCM(34976,34980) = 1223460480 / 4
LCM(34976,34980) = 305865120

Least Common Multiple (LCM) of 34976 and 34980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34976 and 34980. First we will calculate the prime factors of 34976 and 34980.

Prime Factorization of 34976

Prime Factorization of 34980

Now multiplying the highest exponent prime factors to calculate the LCM of 34976 and 34980.

LCM(34976,34980) = 2⁵ × 1093¹ × 3¹ × 5¹ × 11¹ × 53¹
LCM(34976,34980) = 305865120