What is the Least Common Multiple of 48840 and 48846?

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 48840 and 48846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48840 and 48846, than apply into the LCM equation.

GCF(48840,48846) = 6
LCM(48840,48846) = ( 48840 × 48846) / 6
LCM(48840,48846) = 2385638640 / 6
LCM(48840,48846) = 397606440

Least Common Multiple (LCM) of 48840 and 48846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48840 and 48846. First we will calculate the prime factors of 48840 and 48846.

Prime Factorization of 48840

Prime Factorization of 48846

Now multiplying the highest exponent prime factors to calculate the LCM of 48840 and 48846.

LCM(48840,48846) = 2³ × 3¹ × 5¹ × 11¹ × 37¹ × 7¹ × 1163¹
LCM(48840,48846) = 397606440