What is the Least Common Multiple of 87123 and 87128?

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 87123 and 87128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87123 and 87128, than apply into the LCM equation.

GCF(87123,87128) = 1
LCM(87123,87128) = ( 87123 × 87128) / 1
LCM(87123,87128) = 7590852744 / 1
LCM(87123,87128) = 7590852744

Least Common Multiple (LCM) of 87123 and 87128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87123 and 87128. First we will calculate the prime factors of 87123 and 87128.

Prime Factorization of 87123

Prime Factorization of 87128

Now multiplying the highest exponent prime factors to calculate the LCM of 87123 and 87128.

LCM(87123,87128) = 3¹ × 113¹ × 257¹ × 2³ × 10891¹
LCM(87123,87128) = 7590852744