What is the Least Common Multiple of 76362 and 76368?

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 76362 and 76368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76362 and 76368, than apply into the LCM equation.

GCF(76362,76368) = 6
LCM(76362,76368) = ( 76362 × 76368) / 6
LCM(76362,76368) = 5831613216 / 6
LCM(76362,76368) = 971935536

Least Common Multiple (LCM) of 76362 and 76368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76362 and 76368. First we will calculate the prime factors of 76362 and 76368.

Prime Factorization of 76362

Prime Factorization of 76368

Now multiplying the highest exponent prime factors to calculate the LCM of 76362 and 76368.

LCM(76362,76368) = 2⁴ × 3¹ × 11¹ × 13¹ × 89¹ × 37¹ × 43¹
LCM(76362,76368) = 971935536