What is the Least Common Multiple of 34964 and 34976?

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 34964 and 34976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34964 and 34976, than apply into the LCM equation.

GCF(34964,34976) = 4
LCM(34964,34976) = ( 34964 × 34976) / 4
LCM(34964,34976) = 1222900864 / 4
LCM(34964,34976) = 305725216

Least Common Multiple (LCM) of 34964 and 34976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34964 and 34976. First we will calculate the prime factors of 34964 and 34976.

Prime Factorization of 34964

Prime Factorization of 34976

Now multiplying the highest exponent prime factors to calculate the LCM of 34964 and 34976.

LCM(34964,34976) = 2⁵ × 8741¹ × 1093¹
LCM(34964,34976) = 305725216