What is the Least Common Multiple of 92785 and 92801?

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 92785 and 92801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92785 and 92801, than apply into the LCM equation.

GCF(92785,92801) = 1
LCM(92785,92801) = ( 92785 × 92801) / 1
LCM(92785,92801) = 8610540785 / 1
LCM(92785,92801) = 8610540785

Least Common Multiple (LCM) of 92785 and 92801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92785 and 92801. First we will calculate the prime factors of 92785 and 92801.

Prime Factorization of 92785

Prime Factorization of 92801

Now multiplying the highest exponent prime factors to calculate the LCM of 92785 and 92801.

LCM(92785,92801) = 5¹ × 7¹ × 11¹ × 241¹ × 92801¹
LCM(92785,92801) = 8610540785