What is the Least Common Multiple of 76364 and 76380?

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 76364 and 76380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76364 and 76380, than apply into the LCM equation.

GCF(76364,76380) = 4
LCM(76364,76380) = ( 76364 × 76380) / 4
LCM(76364,76380) = 5832682320 / 4
LCM(76364,76380) = 1458170580

Least Common Multiple (LCM) of 76364 and 76380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76364 and 76380. First we will calculate the prime factors of 76364 and 76380.

Prime Factorization of 76364

Prime Factorization of 76380

Now multiplying the highest exponent prime factors to calculate the LCM of 76364 and 76380.

LCM(76364,76380) = 2² × 17¹ × 1123¹ × 3¹ × 5¹ × 19¹ × 67¹
LCM(76364,76380) = 1458170580