What is the Least Common Multiple of 34944 and 34964?

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 34944 and 34964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34944 and 34964, than apply into the LCM equation.

GCF(34944,34964) = 4
LCM(34944,34964) = ( 34944 × 34964) / 4
LCM(34944,34964) = 1221782016 / 4
LCM(34944,34964) = 305445504

Least Common Multiple (LCM) of 34944 and 34964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34944 and 34964. First we will calculate the prime factors of 34944 and 34964.

Prime Factorization of 34944

Prime Factorization of 34964

Now multiplying the highest exponent prime factors to calculate the LCM of 34944 and 34964.

LCM(34944,34964) = 2⁷ × 3¹ × 7¹ × 13¹ × 8741¹
LCM(34944,34964) = 305445504