What is the Least Common Multiple of 66453 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 66453 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 66453 and 66465, than apply into the LCM equation.

GCF(66453,66465) = 3
LCM(66453,66465) = ( 66453 × 66465) / 3
LCM(66453,66465) = 4416798645 / 3
LCM(66453,66465) = 1472266215

Least Common Multiple (LCM) of 66453 and 66465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66453 and 66465. First we will calculate the prime factors of 66453 and 66465.

Prime Factorization of 66453

Prime Factorization of 66465

Now multiplying the highest exponent prime factors to calculate the LCM of 66453 and 66465.

LCM(66453,66465) = 3² × 17¹ × 1303¹ × 5¹ × 7¹ × 211¹
LCM(66453,66465) = 1472266215