What is the Least Common Multiple of 76352 and 76371?

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 76352 and 76371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76352 and 76371, than apply into the LCM equation.

GCF(76352,76371) = 1
LCM(76352,76371) = ( 76352 × 76371) / 1
LCM(76352,76371) = 5831078592 / 1
LCM(76352,76371) = 5831078592

Least Common Multiple (LCM) of 76352 and 76371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76352 and 76371. First we will calculate the prime factors of 76352 and 76371.

Prime Factorization of 76352

Prime Factorization of 76371

Now multiplying the highest exponent prime factors to calculate the LCM of 76352 and 76371.

LCM(76352,76371) = 2⁶ × 1193¹ × 3¹ × 25457¹
LCM(76352,76371) = 5831078592