What is the Least Common Multiple of 49569 and 49580?

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 49569 and 49580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49569 and 49580, than apply into the LCM equation.

GCF(49569,49580) = 1
LCM(49569,49580) = ( 49569 × 49580) / 1
LCM(49569,49580) = 2457631020 / 1
LCM(49569,49580) = 2457631020

Least Common Multiple (LCM) of 49569 and 49580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49569 and 49580. First we will calculate the prime factors of 49569 and 49580.

Prime Factorization of 49569

Prime Factorization of 49580

Now multiplying the highest exponent prime factors to calculate the LCM of 49569 and 49580.

LCM(49569,49580) = 3¹ × 13¹ × 31¹ × 41¹ × 2² × 5¹ × 37¹ × 67¹
LCM(49569,49580) = 2457631020