What is the Least Common Multiple of 18537 and 18546?

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 18537 and 18546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18537 and 18546, than apply into the LCM equation.

GCF(18537,18546) = 3
LCM(18537,18546) = ( 18537 × 18546) / 3
LCM(18537,18546) = 343787202 / 3
LCM(18537,18546) = 114595734

Least Common Multiple (LCM) of 18537 and 18546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18537 and 18546. First we will calculate the prime factors of 18537 and 18546.

Prime Factorization of 18537

Prime Factorization of 18546

Now multiplying the highest exponent prime factors to calculate the LCM of 18537 and 18546.

LCM(18537,18546) = 3¹ × 37¹ × 167¹ × 2¹ × 11¹ × 281¹
LCM(18537,18546) = 114595734