What is the Least Common Multiple of 76464 and 76482?

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 76464 and 76482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76464 and 76482, than apply into the LCM equation.

GCF(76464,76482) = 18
LCM(76464,76482) = ( 76464 × 76482) / 18
LCM(76464,76482) = 5848119648 / 18
LCM(76464,76482) = 324895536

Least Common Multiple (LCM) of 76464 and 76482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76464 and 76482. First we will calculate the prime factors of 76464 and 76482.

Prime Factorization of 76464

Prime Factorization of 76482

Now multiplying the highest exponent prime factors to calculate the LCM of 76464 and 76482.

LCM(76464,76482) = 2⁴ × 3⁴ × 59¹ × 7¹ × 607¹
LCM(76464,76482) = 324895536