What is the Least Common Multiple of 76362 and 76381?

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 76381 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 76381, than apply into the LCM equation.

GCF(76362,76381) = 1
LCM(76362,76381) = ( 76362 × 76381) / 1
LCM(76362,76381) = 5832605922 / 1
LCM(76362,76381) = 5832605922

Least Common Multiple (LCM) of 76362 and 76381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76362 and 76381. First we will calculate the prime factors of 76362 and 76381.

Prime Factorization of 76362

Prime Factorization of 76381

Now multiplying the highest exponent prime factors to calculate the LCM of 76362 and 76381.

LCM(76362,76381) = 2¹ × 3¹ × 11¹ × 13¹ × 89¹ × 17¹ × 4493¹
LCM(76362,76381) = 5832605922