What is the Least Common Multiple of 76629 and 76636?

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 76629 and 76636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76629 and 76636, than apply into the LCM equation.

GCF(76629,76636) = 7
LCM(76629,76636) = ( 76629 × 76636) / 7
LCM(76629,76636) = 5872540044 / 7
LCM(76629,76636) = 838934292

Least Common Multiple (LCM) of 76629 and 76636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76629 and 76636. First we will calculate the prime factors of 76629 and 76636.

Prime Factorization of 76629

Prime Factorization of 76636

Now multiplying the highest exponent prime factors to calculate the LCM of 76629 and 76636.

LCM(76629,76636) = 3¹ × 7² × 41¹ × 89¹ × 2² × 17¹ × 23¹
LCM(76629,76636) = 838934292