What is the Least Common Multiple of 69255 and 69264?

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 69255 and 69264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69255 and 69264, than apply into the LCM equation.

GCF(69255,69264) = 9
LCM(69255,69264) = ( 69255 × 69264) / 9
LCM(69255,69264) = 4796878320 / 9
LCM(69255,69264) = 532986480

Least Common Multiple (LCM) of 69255 and 69264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69255 and 69264. First we will calculate the prime factors of 69255 and 69264.

Prime Factorization of 69255

Prime Factorization of 69264

Now multiplying the highest exponent prime factors to calculate the LCM of 69255 and 69264.

LCM(69255,69264) = 3⁶ × 5¹ × 19¹ × 2⁴ × 13¹ × 37¹
LCM(69255,69264) = 532986480