What is the Least Common Multiple of 66225 and 66240?

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 66225 and 66240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66225 and 66240, than apply into the LCM equation.

GCF(66225,66240) = 15
LCM(66225,66240) = ( 66225 × 66240) / 15
LCM(66225,66240) = 4386744000 / 15
LCM(66225,66240) = 292449600

Least Common Multiple (LCM) of 66225 and 66240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66225 and 66240. First we will calculate the prime factors of 66225 and 66240.

Prime Factorization of 66225

Prime Factorization of 66240

Now multiplying the highest exponent prime factors to calculate the LCM of 66225 and 66240.

LCM(66225,66240) = 3² × 5² × 883¹ × 2⁶ × 23¹
LCM(66225,66240) = 292449600