What is the Least Common Multiple of 18090 and 18102?

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 18090 and 18102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18090 and 18102, than apply into the LCM equation.

GCF(18090,18102) = 6
LCM(18090,18102) = ( 18090 × 18102) / 6
LCM(18090,18102) = 327465180 / 6
LCM(18090,18102) = 54577530

Least Common Multiple (LCM) of 18090 and 18102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18090 and 18102. First we will calculate the prime factors of 18090 and 18102.

Prime Factorization of 18090

Prime Factorization of 18102

Now multiplying the highest exponent prime factors to calculate the LCM of 18090 and 18102.

LCM(18090,18102) = 2¹ × 3³ × 5¹ × 67¹ × 7¹ × 431¹
LCM(18090,18102) = 54577530