What is the Least Common Multiple of 76730 and 76744?

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 76744 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 76744, than apply into the LCM equation.

GCF(76730,76744) = 2
LCM(76730,76744) = ( 76730 × 76744) / 2
LCM(76730,76744) = 5888567120 / 2
LCM(76730,76744) = 2944283560

Least Common Multiple (LCM) of 76730 and 76744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76730 and 76744. First we will calculate the prime factors of 76730 and 76744.

Prime Factorization of 76730

Prime Factorization of 76744

Now multiplying the highest exponent prime factors to calculate the LCM of 76730 and 76744.

LCM(76730,76744) = 2³ × 5¹ × 7673¹ × 53¹ × 181¹
LCM(76730,76744) = 2944283560