What is the Least Common Multiple of 48975 and 48990?

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 48975 and 48990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48975 and 48990, than apply into the LCM equation.

GCF(48975,48990) = 15
LCM(48975,48990) = ( 48975 × 48990) / 15
LCM(48975,48990) = 2399285250 / 15
LCM(48975,48990) = 159952350

Least Common Multiple (LCM) of 48975 and 48990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48975 and 48990. First we will calculate the prime factors of 48975 and 48990.

Prime Factorization of 48975

Prime Factorization of 48990

Now multiplying the highest exponent prime factors to calculate the LCM of 48975 and 48990.

LCM(48975,48990) = 3¹ × 5² × 653¹ × 2¹ × 23¹ × 71¹
LCM(48975,48990) = 159952350