What is the Least Common Multiple of 66450 and 66465?

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 66450 and 66465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66450 and 66465, than apply into the LCM equation.

GCF(66450,66465) = 15
LCM(66450,66465) = ( 66450 × 66465) / 15
LCM(66450,66465) = 4416599250 / 15
LCM(66450,66465) = 294439950

Least Common Multiple (LCM) of 66450 and 66465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66450 and 66465. First we will calculate the prime factors of 66450 and 66465.

Prime Factorization of 66450

Prime Factorization of 66465

Now multiplying the highest exponent prime factors to calculate the LCM of 66450 and 66465.

LCM(66450,66465) = 2¹ × 3² × 5² × 443¹ × 7¹ × 211¹
LCM(66450,66465) = 294439950