What is the Least Common Multiple of 18617 and 18630?

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 18617 and 18630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18617 and 18630, than apply into the LCM equation.

GCF(18617,18630) = 1
LCM(18617,18630) = ( 18617 × 18630) / 1
LCM(18617,18630) = 346834710 / 1
LCM(18617,18630) = 346834710

Least Common Multiple (LCM) of 18617 and 18630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18617 and 18630. First we will calculate the prime factors of 18617 and 18630.

Prime Factorization of 18617

Prime Factorization of 18630

Now multiplying the highest exponent prime factors to calculate the LCM of 18617 and 18630.

LCM(18617,18630) = 18617¹ × 2¹ × 3⁴ × 5¹ × 23¹
LCM(18617,18630) = 346834710