What is the Least Common Multiple of 76459 and 76473?

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 76459 and 76473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76459 and 76473, than apply into the LCM equation.

GCF(76459,76473) = 1
LCM(76459,76473) = ( 76459 × 76473) / 1
LCM(76459,76473) = 5847049107 / 1
LCM(76459,76473) = 5847049107

Least Common Multiple (LCM) of 76459 and 76473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76459 and 76473. First we will calculate the prime factors of 76459 and 76473.

Prime Factorization of 76459

Prime Factorization of 76473

Now multiplying the highest exponent prime factors to calculate the LCM of 76459 and 76473.

LCM(76459,76473) = 157¹ × 487¹ × 3² × 29¹ × 293¹
LCM(76459,76473) = 5847049107