What is the Least Common Multiple of 49680 and 49687?

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 49680 and 49687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49680 and 49687, than apply into the LCM equation.

GCF(49680,49687) = 1
LCM(49680,49687) = ( 49680 × 49687) / 1
LCM(49680,49687) = 2468450160 / 1
LCM(49680,49687) = 2468450160

Least Common Multiple (LCM) of 49680 and 49687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49680 and 49687. First we will calculate the prime factors of 49680 and 49687.

Prime Factorization of 49680

Prime Factorization of 49687

Now multiplying the highest exponent prime factors to calculate the LCM of 49680 and 49687.

LCM(49680,49687) = 2⁴ × 3³ × 5¹ × 23¹ × 11¹ × 4517¹
LCM(49680,49687) = 2468450160