What is the Least Common Multiple of 74922 and 74941?

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 74922 and 74941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74922 and 74941, than apply into the LCM equation.

GCF(74922,74941) = 1
LCM(74922,74941) = ( 74922 × 74941) / 1
LCM(74922,74941) = 5614729602 / 1
LCM(74922,74941) = 5614729602

Least Common Multiple (LCM) of 74922 and 74941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74922 and 74941. First we will calculate the prime factors of 74922 and 74941.

Prime Factorization of 74922

Prime Factorization of 74941

Now multiplying the highest exponent prime factors to calculate the LCM of 74922 and 74941.

LCM(74922,74941) = 2¹ × 3¹ × 12487¹ × 74941¹
LCM(74922,74941) = 5614729602