What is the Least Common Multiple of 18615 and 18633?

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 18615 and 18633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18615 and 18633, than apply into the LCM equation.

GCF(18615,18633) = 3
LCM(18615,18633) = ( 18615 × 18633) / 3
LCM(18615,18633) = 346853295 / 3
LCM(18615,18633) = 115617765

Least Common Multiple (LCM) of 18615 and 18633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18615 and 18633. First we will calculate the prime factors of 18615 and 18633.

Prime Factorization of 18615

Prime Factorization of 18633

Now multiplying the highest exponent prime factors to calculate the LCM of 18615 and 18633.

LCM(18615,18633) = 3¹ × 5¹ × 17¹ × 73¹ × 6211¹
LCM(18615,18633) = 115617765