What is the Least Common Multiple of 88287 and 88303?

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 88287 and 88303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88287 and 88303, than apply into the LCM equation.

GCF(88287,88303) = 1
LCM(88287,88303) = ( 88287 × 88303) / 1
LCM(88287,88303) = 7796006961 / 1
LCM(88287,88303) = 7796006961

Least Common Multiple (LCM) of 88287 and 88303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88287 and 88303. First we will calculate the prime factors of 88287 and 88303.

Prime Factorization of 88287

Prime Factorization of 88303

Now multiplying the highest exponent prime factors to calculate the LCM of 88287 and 88303.

LCM(88287,88303) = 3¹ × 29429¹ × 227¹ × 389¹
LCM(88287,88303) = 7796006961