What is the Least Common Multiple of 49116 and 49123?

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 49116 and 49123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49116 and 49123, than apply into the LCM equation.

GCF(49116,49123) = 1
LCM(49116,49123) = ( 49116 × 49123) / 1
LCM(49116,49123) = 2412725268 / 1
LCM(49116,49123) = 2412725268

Least Common Multiple (LCM) of 49116 and 49123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49116 and 49123. First we will calculate the prime factors of 49116 and 49123.

Prime Factorization of 49116

Prime Factorization of 49123

Now multiplying the highest exponent prime factors to calculate the LCM of 49116 and 49123.

LCM(49116,49123) = 2² × 3¹ × 4093¹ × 49123¹
LCM(49116,49123) = 2412725268