What is the Least Common Multiple of 76105 and 76113?

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 76105 and 76113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76105 and 76113, than apply into the LCM equation.

GCF(76105,76113) = 1
LCM(76105,76113) = ( 76105 × 76113) / 1
LCM(76105,76113) = 5792579865 / 1
LCM(76105,76113) = 5792579865

Least Common Multiple (LCM) of 76105 and 76113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76105 and 76113. First we will calculate the prime factors of 76105 and 76113.

Prime Factorization of 76105

Prime Factorization of 76113

Now multiplying the highest exponent prime factors to calculate the LCM of 76105 and 76113.

LCM(76105,76113) = 5¹ × 31¹ × 491¹ × 3³ × 2819¹
LCM(76105,76113) = 5792579865