What is the Least Common Multiple of 58785 and 58795?

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 58785 and 58795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58785 and 58795, than apply into the LCM equation.

GCF(58785,58795) = 5
LCM(58785,58795) = ( 58785 × 58795) / 5
LCM(58785,58795) = 3456264075 / 5
LCM(58785,58795) = 691252815

Least Common Multiple (LCM) of 58785 and 58795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58785 and 58795. First we will calculate the prime factors of 58785 and 58795.

Prime Factorization of 58785

Prime Factorization of 58795

Now multiplying the highest exponent prime factors to calculate the LCM of 58785 and 58795.

LCM(58785,58795) = 3¹ × 5¹ × 3919¹ × 11¹ × 1069¹
LCM(58785,58795) = 691252815