What is the Least Common Multiple of 48720 and 48732?

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 48720 and 48732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48720 and 48732, than apply into the LCM equation.

GCF(48720,48732) = 12
LCM(48720,48732) = ( 48720 × 48732) / 12
LCM(48720,48732) = 2374223040 / 12
LCM(48720,48732) = 197851920

Least Common Multiple (LCM) of 48720 and 48732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48720 and 48732. First we will calculate the prime factors of 48720 and 48732.

Prime Factorization of 48720

Prime Factorization of 48732

Now multiplying the highest exponent prime factors to calculate the LCM of 48720 and 48732.

LCM(48720,48732) = 2⁴ × 3¹ × 5¹ × 7¹ × 29¹ × 31¹ × 131¹
LCM(48720,48732) = 197851920