What is the Least Common Multiple of 7109 and 7124?

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 7109 and 7124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7109 and 7124, than apply into the LCM equation.

GCF(7109,7124) = 1
LCM(7109,7124) = ( 7109 × 7124) / 1
LCM(7109,7124) = 50644516 / 1
LCM(7109,7124) = 50644516

Least Common Multiple (LCM) of 7109 and 7124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7109 and 7124. First we will calculate the prime factors of 7109 and 7124.

Prime Factorization of 7109

Prime Factorization of 7124

Now multiplying the highest exponent prime factors to calculate the LCM of 7109 and 7124.

LCM(7109,7124) = 7109¹ × 2² × 13¹ × 137¹
LCM(7109,7124) = 50644516