What is the Least Common Multiple of 87888 and 87907?

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 87888 and 87907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87888 and 87907, than apply into the LCM equation.

GCF(87888,87907) = 1
LCM(87888,87907) = ( 87888 × 87907) / 1
LCM(87888,87907) = 7725970416 / 1
LCM(87888,87907) = 7725970416

Least Common Multiple (LCM) of 87888 and 87907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87888 and 87907. First we will calculate the prime factors of 87888 and 87907.

Prime Factorization of 87888

Prime Factorization of 87907

Now multiplying the highest exponent prime factors to calculate the LCM of 87888 and 87907.

LCM(87888,87907) = 2⁴ × 3¹ × 1831¹ × 17¹ × 5171¹
LCM(87888,87907) = 7725970416