What is the Least Common Multiple of 76109 and 76126?

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 76109 and 76126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76109 and 76126, than apply into the LCM equation.

GCF(76109,76126) = 17
LCM(76109,76126) = ( 76109 × 76126) / 17
LCM(76109,76126) = 5793873734 / 17
LCM(76109,76126) = 340816102

Least Common Multiple (LCM) of 76109 and 76126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76109 and 76126. First we will calculate the prime factors of 76109 and 76126.

Prime Factorization of 76109

Prime Factorization of 76126

Now multiplying the highest exponent prime factors to calculate the LCM of 76109 and 76126.

LCM(76109,76126) = 11² × 17¹ × 37¹ × 2¹ × 2239¹
LCM(76109,76126) = 340816102