What is the Least Common Multiple of 76357 and 76373?

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 76357 and 76373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76357 and 76373, than apply into the LCM equation.

GCF(76357,76373) = 1
LCM(76357,76373) = ( 76357 × 76373) / 1
LCM(76357,76373) = 5831613161 / 1
LCM(76357,76373) = 5831613161

Least Common Multiple (LCM) of 76357 and 76373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76357 and 76373. First we will calculate the prime factors of 76357 and 76373.

Prime Factorization of 76357

Prime Factorization of 76373

Now multiplying the highest exponent prime factors to calculate the LCM of 76357 and 76373.

LCM(76357,76373) = 29¹ × 2633¹ × 11¹ × 53¹ × 131¹
LCM(76357,76373) = 5831613161