What is the Least Common Multiple of 76730 and 76750?

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 76730 and 76750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76730 and 76750, than apply into the LCM equation.

GCF(76730,76750) = 10
LCM(76730,76750) = ( 76730 × 76750) / 10
LCM(76730,76750) = 5889027500 / 10
LCM(76730,76750) = 588902750

Least Common Multiple (LCM) of 76730 and 76750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76730 and 76750. First we will calculate the prime factors of 76730 and 76750.

Prime Factorization of 76730

Prime Factorization of 76750

Now multiplying the highest exponent prime factors to calculate the LCM of 76730 and 76750.

LCM(76730,76750) = 2¹ × 5³ × 7673¹ × 307¹
LCM(76730,76750) = 588902750