What is the Least Common Multiple of 18426 and 18435?

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 18426 and 18435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18426 and 18435, than apply into the LCM equation.

GCF(18426,18435) = 3
LCM(18426,18435) = ( 18426 × 18435) / 3
LCM(18426,18435) = 339683310 / 3
LCM(18426,18435) = 113227770

Least Common Multiple (LCM) of 18426 and 18435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18426 and 18435. First we will calculate the prime factors of 18426 and 18435.

Prime Factorization of 18426

Prime Factorization of 18435

Now multiplying the highest exponent prime factors to calculate the LCM of 18426 and 18435.

LCM(18426,18435) = 2¹ × 3¹ × 37¹ × 83¹ × 5¹ × 1229¹
LCM(18426,18435) = 113227770