What is the Least Common Multiple of 34924 and 34944?

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 34924 and 34944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34924 and 34944, than apply into the LCM equation.

GCF(34924,34944) = 4
LCM(34924,34944) = ( 34924 × 34944) / 4
LCM(34924,34944) = 1220384256 / 4
LCM(34924,34944) = 305096064

Least Common Multiple (LCM) of 34924 and 34944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34924 and 34944. First we will calculate the prime factors of 34924 and 34944.

Prime Factorization of 34924

Prime Factorization of 34944

Now multiplying the highest exponent prime factors to calculate the LCM of 34924 and 34944.

LCM(34924,34944) = 2⁷ × 8731¹ × 3¹ × 7¹ × 13¹
LCM(34924,34944) = 305096064