What is the Least Common Multiple of 48714 and 48720?

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 48714 and 48720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48714 and 48720, than apply into the LCM equation.

GCF(48714,48720) = 6
LCM(48714,48720) = ( 48714 × 48720) / 6
LCM(48714,48720) = 2373346080 / 6
LCM(48714,48720) = 395557680

Least Common Multiple (LCM) of 48714 and 48720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48714 and 48720. First we will calculate the prime factors of 48714 and 48720.

Prime Factorization of 48714

Prime Factorization of 48720

Now multiplying the highest exponent prime factors to calculate the LCM of 48714 and 48720.

LCM(48714,48720) = 2⁴ × 3¹ × 23¹ × 353¹ × 5¹ × 7¹ × 29¹
LCM(48714,48720) = 395557680