What is the Least Common Multiple of 50925 and 50941?

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 50925 and 50941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50925 and 50941, than apply into the LCM equation.

GCF(50925,50941) = 1
LCM(50925,50941) = ( 50925 × 50941) / 1
LCM(50925,50941) = 2594170425 / 1
LCM(50925,50941) = 2594170425

Least Common Multiple (LCM) of 50925 and 50941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50925 and 50941. First we will calculate the prime factors of 50925 and 50941.

Prime Factorization of 50925

Prime Factorization of 50941

Now multiplying the highest exponent prime factors to calculate the LCM of 50925 and 50941.

LCM(50925,50941) = 3¹ × 5² × 7¹ × 97¹ × 11² × 421¹
LCM(50925,50941) = 2594170425