What is the Least Common Multiple of 66255 and 66269?

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 66255 and 66269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66255 and 66269, than apply into the LCM equation.

GCF(66255,66269) = 7
LCM(66255,66269) = ( 66255 × 66269) / 7
LCM(66255,66269) = 4390652595 / 7
LCM(66255,66269) = 627236085

Least Common Multiple (LCM) of 66255 and 66269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66255 and 66269. First we will calculate the prime factors of 66255 and 66269.

Prime Factorization of 66255

Prime Factorization of 66269

Now multiplying the highest exponent prime factors to calculate the LCM of 66255 and 66269.

LCM(66255,66269) = 3¹ × 5¹ × 7¹ × 631¹ × 9467¹
LCM(66255,66269) = 627236085