What is the Least Common Multiple of 58717 and 58735?

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 58717 and 58735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58717 and 58735, than apply into the LCM equation.

GCF(58717,58735) = 1
LCM(58717,58735) = ( 58717 × 58735) / 1
LCM(58717,58735) = 3448742995 / 1
LCM(58717,58735) = 3448742995

Least Common Multiple (LCM) of 58717 and 58735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58717 and 58735. First we will calculate the prime factors of 58717 and 58735.

Prime Factorization of 58717

Prime Factorization of 58735

Now multiplying the highest exponent prime factors to calculate the LCM of 58717 and 58735.

LCM(58717,58735) = 71¹ × 827¹ × 5¹ × 17¹ × 691¹
LCM(58717,58735) = 3448742995