What is the Least Common Multiple of 34688 and 34704?

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 34688 and 34704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34688 and 34704, than apply into the LCM equation.

GCF(34688,34704) = 16
LCM(34688,34704) = ( 34688 × 34704) / 16
LCM(34688,34704) = 1203812352 / 16
LCM(34688,34704) = 75238272

Least Common Multiple (LCM) of 34688 and 34704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34688 and 34704. First we will calculate the prime factors of 34688 and 34704.

Prime Factorization of 34688

Prime Factorization of 34704

Now multiplying the highest exponent prime factors to calculate the LCM of 34688 and 34704.

LCM(34688,34704) = 2⁷ × 271¹ × 3² × 241¹
LCM(34688,34704) = 75238272