What is the Least Common Multiple of 42288 and 42307?

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 42288 and 42307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42288 and 42307, than apply into the LCM equation.

GCF(42288,42307) = 1
LCM(42288,42307) = ( 42288 × 42307) / 1
LCM(42288,42307) = 1789078416 / 1
LCM(42288,42307) = 1789078416

Least Common Multiple (LCM) of 42288 and 42307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42288 and 42307. First we will calculate the prime factors of 42288 and 42307.

Prime Factorization of 42288

Prime Factorization of 42307

Now multiplying the highest exponent prime factors to calculate the LCM of 42288 and 42307.

LCM(42288,42307) = 2⁴ × 3¹ × 881¹ × 42307¹
LCM(42288,42307) = 1789078416