What is the Least Common Multiple of 33748 and 33752?

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 33748 and 33752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33748 and 33752, than apply into the LCM equation.

GCF(33748,33752) = 4
LCM(33748,33752) = ( 33748 × 33752) / 4
LCM(33748,33752) = 1139062496 / 4
LCM(33748,33752) = 284765624

Least Common Multiple (LCM) of 33748 and 33752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33748 and 33752. First we will calculate the prime factors of 33748 and 33752.

Prime Factorization of 33748

Prime Factorization of 33752

Now multiplying the highest exponent prime factors to calculate the LCM of 33748 and 33752.

LCM(33748,33752) = 2³ × 11¹ × 13¹ × 59¹ × 4219¹
LCM(33748,33752) = 284765624