What is the Least Common Multiple of 63045 and 63065?

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 63045 and 63065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63045 and 63065, than apply into the LCM equation.

GCF(63045,63065) = 5
LCM(63045,63065) = ( 63045 × 63065) / 5
LCM(63045,63065) = 3975932925 / 5
LCM(63045,63065) = 795186585

Least Common Multiple (LCM) of 63045 and 63065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63045 and 63065. First we will calculate the prime factors of 63045 and 63065.

Prime Factorization of 63045

Prime Factorization of 63065

Now multiplying the highest exponent prime factors to calculate the LCM of 63045 and 63065.

LCM(63045,63065) = 3³ × 5¹ × 467¹ × 12613¹
LCM(63045,63065) = 795186585