What is the Least Common Multiple of 76141 and 76147?

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 76141 and 76147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76141 and 76147, than apply into the LCM equation.

GCF(76141,76147) = 1
LCM(76141,76147) = ( 76141 × 76147) / 1
LCM(76141,76147) = 5797908727 / 1
LCM(76141,76147) = 5797908727

Least Common Multiple (LCM) of 76141 and 76147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76141 and 76147. First we will calculate the prime factors of 76141 and 76147.

Prime Factorization of 76141

Prime Factorization of 76147

Now multiplying the highest exponent prime factors to calculate the LCM of 76141 and 76147.

LCM(76141,76147) = 13¹ × 5857¹ × 76147¹
LCM(76141,76147) = 5797908727