What is the Least Common Multiple of 6090 and 6105?

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 6090 and 6105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6090 and 6105, than apply into the LCM equation.

GCF(6090,6105) = 15
LCM(6090,6105) = ( 6090 × 6105) / 15
LCM(6090,6105) = 37179450 / 15
LCM(6090,6105) = 2478630

Least Common Multiple (LCM) of 6090 and 6105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6090 and 6105. First we will calculate the prime factors of 6090 and 6105.

Prime Factorization of 6090

Prime Factorization of 6105

Now multiplying the highest exponent prime factors to calculate the LCM of 6090 and 6105.

LCM(6090,6105) = 2¹ × 3¹ × 5¹ × 7¹ × 29¹ × 11¹ × 37¹
LCM(6090,6105) = 2478630