What is the Least Common Multiple of 86895 and 86907?

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 86895 and 86907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86895 and 86907, than apply into the LCM equation.

GCF(86895,86907) = 3
LCM(86895,86907) = ( 86895 × 86907) / 3
LCM(86895,86907) = 7551783765 / 3
LCM(86895,86907) = 2517261255

Least Common Multiple (LCM) of 86895 and 86907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86895 and 86907. First we will calculate the prime factors of 86895 and 86907.

Prime Factorization of 86895

Prime Factorization of 86907

Now multiplying the highest exponent prime factors to calculate the LCM of 86895 and 86907.

LCM(86895,86907) = 3² × 5¹ × 1931¹ × 59¹ × 491¹
LCM(86895,86907) = 2517261255