What is the Least Common Multiple of 76360 and 76377?

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 76360 and 76377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76360 and 76377, than apply into the LCM equation.

GCF(76360,76377) = 1
LCM(76360,76377) = ( 76360 × 76377) / 1
LCM(76360,76377) = 5832147720 / 1
LCM(76360,76377) = 5832147720

Least Common Multiple (LCM) of 76360 and 76377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76360 and 76377. First we will calculate the prime factors of 76360 and 76377.

Prime Factorization of 76360

Prime Factorization of 76377

Now multiplying the highest exponent prime factors to calculate the LCM of 76360 and 76377.

LCM(76360,76377) = 2³ × 5¹ × 23¹ × 83¹ × 3¹ × 7¹ × 3637¹
LCM(76360,76377) = 5832147720