What is the Least Common Multiple of 18816 and 18830?

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 18816 and 18830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18816 and 18830, than apply into the LCM equation.

GCF(18816,18830) = 14
LCM(18816,18830) = ( 18816 × 18830) / 14
LCM(18816,18830) = 354305280 / 14
LCM(18816,18830) = 25307520

Least Common Multiple (LCM) of 18816 and 18830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18816 and 18830. First we will calculate the prime factors of 18816 and 18830.

Prime Factorization of 18816

Prime Factorization of 18830

Now multiplying the highest exponent prime factors to calculate the LCM of 18816 and 18830.

LCM(18816,18830) = 2⁷ × 3¹ × 7² × 5¹ × 269¹
LCM(18816,18830) = 25307520