What is the Least Common Multiple of 18724 and 18736?

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 18724 and 18736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18724 and 18736, than apply into the LCM equation.

GCF(18724,18736) = 4
LCM(18724,18736) = ( 18724 × 18736) / 4
LCM(18724,18736) = 350812864 / 4
LCM(18724,18736) = 87703216

Least Common Multiple (LCM) of 18724 and 18736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18724 and 18736. First we will calculate the prime factors of 18724 and 18736.

Prime Factorization of 18724

Prime Factorization of 18736

Now multiplying the highest exponent prime factors to calculate the LCM of 18724 and 18736.

LCM(18724,18736) = 2⁴ × 31¹ × 151¹ × 1171¹
LCM(18724,18736) = 87703216