What is the Least Common Multiple of 76236 and 76251?

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 76236 and 76251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76236 and 76251, than apply into the LCM equation.

GCF(76236,76251) = 3
LCM(76236,76251) = ( 76236 × 76251) / 3
LCM(76236,76251) = 5813071236 / 3
LCM(76236,76251) = 1937690412

Least Common Multiple (LCM) of 76236 and 76251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76236 and 76251. First we will calculate the prime factors of 76236 and 76251.

Prime Factorization of 76236

Prime Factorization of 76251

Now multiplying the highest exponent prime factors to calculate the LCM of 76236 and 76251.

LCM(76236,76251) = 2² × 3¹ × 6353¹ × 7¹ × 3631¹
LCM(76236,76251) = 1937690412