What is the Least Common Multiple of 48894 and 48907?

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 48894 and 48907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48894 and 48907, than apply into the LCM equation.

GCF(48894,48907) = 1
LCM(48894,48907) = ( 48894 × 48907) / 1
LCM(48894,48907) = 2391258858 / 1
LCM(48894,48907) = 2391258858

Least Common Multiple (LCM) of 48894 and 48907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48894 and 48907. First we will calculate the prime factors of 48894 and 48907.

Prime Factorization of 48894

Prime Factorization of 48907

Now multiplying the highest exponent prime factors to calculate the LCM of 48894 and 48907.

LCM(48894,48907) = 2¹ × 3¹ × 29¹ × 281¹ × 48907¹
LCM(48894,48907) = 2391258858