What is the Least Common Multiple of 8785 and 8795?

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 8785 and 8795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8785 and 8795, than apply into the LCM equation.

GCF(8785,8795) = 5
LCM(8785,8795) = ( 8785 × 8795) / 5
LCM(8785,8795) = 77264075 / 5
LCM(8785,8795) = 15452815

Least Common Multiple (LCM) of 8785 and 8795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8785 and 8795. First we will calculate the prime factors of 8785 and 8795.

Prime Factorization of 8785

Prime Factorization of 8795

Now multiplying the highest exponent prime factors to calculate the LCM of 8785 and 8795.

LCM(8785,8795) = 5¹ × 7¹ × 251¹ × 1759¹
LCM(8785,8795) = 15452815