What is the Least Common Multiple of 48576 and 48580?

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 48576 and 48580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48576 and 48580, than apply into the LCM equation.

GCF(48576,48580) = 4
LCM(48576,48580) = ( 48576 × 48580) / 4
LCM(48576,48580) = 2359822080 / 4
LCM(48576,48580) = 589955520

Least Common Multiple (LCM) of 48576 and 48580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48576 and 48580. First we will calculate the prime factors of 48576 and 48580.

Prime Factorization of 48576

Prime Factorization of 48580

Now multiplying the highest exponent prime factors to calculate the LCM of 48576 and 48580.

LCM(48576,48580) = 2⁶ × 3¹ × 11¹ × 23¹ × 5¹ × 7¹ × 347¹
LCM(48576,48580) = 589955520