What is the Least Common Multiple of 33376 and 33380?

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 33376 and 33380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33376 and 33380, than apply into the LCM equation.

GCF(33376,33380) = 4
LCM(33376,33380) = ( 33376 × 33380) / 4
LCM(33376,33380) = 1114090880 / 4
LCM(33376,33380) = 278522720

Least Common Multiple (LCM) of 33376 and 33380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33376 and 33380. First we will calculate the prime factors of 33376 and 33380.

Prime Factorization of 33376

Prime Factorization of 33380

Now multiplying the highest exponent prime factors to calculate the LCM of 33376 and 33380.

LCM(33376,33380) = 2⁵ × 7¹ × 149¹ × 5¹ × 1669¹
LCM(33376,33380) = 278522720