What is the Least Common Multiple of 66030 and 66045?

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 66030 and 66045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66030 and 66045, than apply into the LCM equation.

GCF(66030,66045) = 15
LCM(66030,66045) = ( 66030 × 66045) / 15
LCM(66030,66045) = 4360951350 / 15
LCM(66030,66045) = 290730090

Least Common Multiple (LCM) of 66030 and 66045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66030 and 66045. First we will calculate the prime factors of 66030 and 66045.

Prime Factorization of 66030

Prime Factorization of 66045

Now multiplying the highest exponent prime factors to calculate the LCM of 66030 and 66045.

LCM(66030,66045) = 2¹ × 3¹ × 5¹ × 31¹ × 71¹ × 7¹ × 17¹ × 37¹
LCM(66030,66045) = 290730090