What is the Least Common Multiple of 92649 and 92663?

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 92649 and 92663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92649 and 92663, than apply into the LCM equation.

GCF(92649,92663) = 1
LCM(92649,92663) = ( 92649 × 92663) / 1
LCM(92649,92663) = 8585134287 / 1
LCM(92649,92663) = 8585134287

Least Common Multiple (LCM) of 92649 and 92663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92649 and 92663. First we will calculate the prime factors of 92649 and 92663.

Prime Factorization of 92649

Prime Factorization of 92663

Now multiplying the highest exponent prime factors to calculate the LCM of 92649 and 92663.

LCM(92649,92663) = 3¹ × 89¹ × 347¹ × 19¹ × 4877¹
LCM(92649,92663) = 8585134287