What is the Least Common Multiple of 76140 and 76149?

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 76140 and 76149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76140 and 76149, than apply into the LCM equation.

GCF(76140,76149) = 9
LCM(76140,76149) = ( 76140 × 76149) / 9
LCM(76140,76149) = 5797984860 / 9
LCM(76140,76149) = 644220540

Least Common Multiple (LCM) of 76140 and 76149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76140 and 76149. First we will calculate the prime factors of 76140 and 76149.

Prime Factorization of 76140

Prime Factorization of 76149

Now multiplying the highest exponent prime factors to calculate the LCM of 76140 and 76149.

LCM(76140,76149) = 2² × 3⁴ × 5¹ × 47¹ × 8461¹
LCM(76140,76149) = 644220540