What is the Least Common Multiple of 69888 and 69903?

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 69888 and 69903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69888 and 69903, than apply into the LCM equation.

GCF(69888,69903) = 3
LCM(69888,69903) = ( 69888 × 69903) / 3
LCM(69888,69903) = 4885380864 / 3
LCM(69888,69903) = 1628460288

Least Common Multiple (LCM) of 69888 and 69903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69888 and 69903. First we will calculate the prime factors of 69888 and 69903.

Prime Factorization of 69888

Prime Factorization of 69903

Now multiplying the highest exponent prime factors to calculate the LCM of 69888 and 69903.

LCM(69888,69903) = 2⁸ × 3⁴ × 7¹ × 13¹ × 863¹
LCM(69888,69903) = 1628460288