What is the Least Common Multiple of 76730 and 76736?

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 76736 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 76736, than apply into the LCM equation.

GCF(76730,76736) = 2
LCM(76730,76736) = ( 76730 × 76736) / 2
LCM(76730,76736) = 5887953280 / 2
LCM(76730,76736) = 2943976640

Least Common Multiple (LCM) of 76730 and 76736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76730 and 76736. First we will calculate the prime factors of 76730 and 76736.

Prime Factorization of 76730

Prime Factorization of 76736

Now multiplying the highest exponent prime factors to calculate the LCM of 76730 and 76736.

LCM(76730,76736) = 2⁶ × 5¹ × 7673¹ × 11¹ × 109¹
LCM(76730,76736) = 2943976640