What is the Least Common Multiple of 9090 and 9102?

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 9090 and 9102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9090 and 9102, than apply into the LCM equation.

GCF(9090,9102) = 6
LCM(9090,9102) = ( 9090 × 9102) / 6
LCM(9090,9102) = 82737180 / 6
LCM(9090,9102) = 13789530

Least Common Multiple (LCM) of 9090 and 9102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9090 and 9102. First we will calculate the prime factors of 9090 and 9102.

Prime Factorization of 9090

Prime Factorization of 9102

Now multiplying the highest exponent prime factors to calculate the LCM of 9090 and 9102.

LCM(9090,9102) = 2¹ × 3² × 5¹ × 101¹ × 37¹ × 41¹
LCM(9090,9102) = 13789530