What is the Least Common Multiple of 52140 and 52149?

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 52140 and 52149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52140 and 52149, than apply into the LCM equation.

GCF(52140,52149) = 3
LCM(52140,52149) = ( 52140 × 52149) / 3
LCM(52140,52149) = 2719048860 / 3
LCM(52140,52149) = 906349620

Least Common Multiple (LCM) of 52140 and 52149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52140 and 52149. First we will calculate the prime factors of 52140 and 52149.

Prime Factorization of 52140

Prime Factorization of 52149

Now multiplying the highest exponent prime factors to calculate the LCM of 52140 and 52149.

LCM(52140,52149) = 2² × 3¹ × 5¹ × 11¹ × 79¹ × 17383¹
LCM(52140,52149) = 906349620