What is the Least Common Multiple of 92735 and 92741?

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 92741 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 92741, than apply into the LCM equation.

GCF(92735,92741) = 1
LCM(92735,92741) = ( 92735 × 92741) / 1
LCM(92735,92741) = 8600336635 / 1
LCM(92735,92741) = 8600336635

Least Common Multiple (LCM) of 92735 and 92741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92735 and 92741. First we will calculate the prime factors of 92735 and 92741.

Prime Factorization of 92735

Prime Factorization of 92741

Now multiplying the highest exponent prime factors to calculate the LCM of 92735 and 92741.

LCM(92735,92741) = 5¹ × 17¹ × 1091¹ × 11¹ × 8431¹
LCM(92735,92741) = 8600336635