What is the Least Common Multiple of 49580 and 49587?

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 49580 and 49587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49580 and 49587, than apply into the LCM equation.

GCF(49580,49587) = 1
LCM(49580,49587) = ( 49580 × 49587) / 1
LCM(49580,49587) = 2458523460 / 1
LCM(49580,49587) = 2458523460

Least Common Multiple (LCM) of 49580 and 49587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49580 and 49587. First we will calculate the prime factors of 49580 and 49587.

Prime Factorization of 49580

Prime Factorization of 49587

Now multiplying the highest exponent prime factors to calculate the LCM of 49580 and 49587.

LCM(49580,49587) = 2² × 5¹ × 37¹ × 67¹ × 3¹ × 16529¹
LCM(49580,49587) = 2458523460