What is the Least Common Multiple of 75109 and 75126?

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 75109 and 75126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75109 and 75126, than apply into the LCM equation.

GCF(75109,75126) = 1
LCM(75109,75126) = ( 75109 × 75126) / 1
LCM(75109,75126) = 5642638734 / 1
LCM(75109,75126) = 5642638734

Least Common Multiple (LCM) of 75109 and 75126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75109 and 75126. First we will calculate the prime factors of 75109 and 75126.

Prime Factorization of 75109

Prime Factorization of 75126

Now multiplying the highest exponent prime factors to calculate the LCM of 75109 and 75126.

LCM(75109,75126) = 75109¹ × 2¹ × 3¹ × 19¹ × 659¹
LCM(75109,75126) = 5642638734