What is the Least Common Multiple of 33919 and 33925?

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 33919 and 33925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33919 and 33925, than apply into the LCM equation.

GCF(33919,33925) = 1
LCM(33919,33925) = ( 33919 × 33925) / 1
LCM(33919,33925) = 1150702075 / 1
LCM(33919,33925) = 1150702075

Least Common Multiple (LCM) of 33919 and 33925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33919 and 33925. First we will calculate the prime factors of 33919 and 33925.

Prime Factorization of 33919

Prime Factorization of 33925

Now multiplying the highest exponent prime factors to calculate the LCM of 33919 and 33925.

LCM(33919,33925) = 107¹ × 317¹ × 5² × 23¹ × 59¹
LCM(33919,33925) = 1150702075