What is the Least Common Multiple of 33925 and 33941?

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 33925 and 33941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33925 and 33941, than apply into the LCM equation.

GCF(33925,33941) = 1
LCM(33925,33941) = ( 33925 × 33941) / 1
LCM(33925,33941) = 1151448425 / 1
LCM(33925,33941) = 1151448425

Least Common Multiple (LCM) of 33925 and 33941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33925 and 33941. First we will calculate the prime factors of 33925 and 33941.

Prime Factorization of 33925

Prime Factorization of 33941

Now multiplying the highest exponent prime factors to calculate the LCM of 33925 and 33941.

LCM(33925,33941) = 5² × 23¹ × 59¹ × 33941¹
LCM(33925,33941) = 1151448425