What is the Least Common Multiple of 34746 and 34752?

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 34746 and 34752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34746 and 34752, than apply into the LCM equation.

GCF(34746,34752) = 6
LCM(34746,34752) = ( 34746 × 34752) / 6
LCM(34746,34752) = 1207492992 / 6
LCM(34746,34752) = 201248832

Least Common Multiple (LCM) of 34746 and 34752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34746 and 34752. First we will calculate the prime factors of 34746 and 34752.

Prime Factorization of 34746

Prime Factorization of 34752

Now multiplying the highest exponent prime factors to calculate the LCM of 34746 and 34752.

LCM(34746,34752) = 2⁶ × 3¹ × 5791¹ × 181¹
LCM(34746,34752) = 201248832