What is the Least Common Multiple of 76438 and 76451?

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 76438 and 76451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76438 and 76451, than apply into the LCM equation.

GCF(76438,76451) = 1
LCM(76438,76451) = ( 76438 × 76451) / 1
LCM(76438,76451) = 5843761538 / 1
LCM(76438,76451) = 5843761538

Least Common Multiple (LCM) of 76438 and 76451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76438 and 76451. First we will calculate the prime factors of 76438 and 76451.

Prime Factorization of 76438

Prime Factorization of 76451

Now multiplying the highest exponent prime factors to calculate the LCM of 76438 and 76451.

LCM(76438,76451) = 2¹ × 38219¹ × 89¹ × 859¹
LCM(76438,76451) = 5843761538