What is the Least Common Multiple of 18780 and 18795?

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 18780 and 18795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18780 and 18795, than apply into the LCM equation.

GCF(18780,18795) = 15
LCM(18780,18795) = ( 18780 × 18795) / 15
LCM(18780,18795) = 352970100 / 15
LCM(18780,18795) = 23531340

Least Common Multiple (LCM) of 18780 and 18795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18780 and 18795. First we will calculate the prime factors of 18780 and 18795.

Prime Factorization of 18780

Prime Factorization of 18795

Now multiplying the highest exponent prime factors to calculate the LCM of 18780 and 18795.

LCM(18780,18795) = 2² × 3¹ × 5¹ × 313¹ × 7¹ × 179¹
LCM(18780,18795) = 23531340