What is the Least Common Multiple of 92735 and 92743?

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 92735 and 92743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92735 and 92743, than apply into the LCM equation.

GCF(92735,92743) = 1
LCM(92735,92743) = ( 92735 × 92743) / 1
LCM(92735,92743) = 8600522105 / 1
LCM(92735,92743) = 8600522105

Least Common Multiple (LCM) of 92735 and 92743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92735 and 92743. First we will calculate the prime factors of 92735 and 92743.

Prime Factorization of 92735

Prime Factorization of 92743

Now multiplying the highest exponent prime factors to calculate the LCM of 92735 and 92743.

LCM(92735,92743) = 5¹ × 17¹ × 1091¹ × 7¹ × 13249¹
LCM(92735,92743) = 8600522105