What is the Least Common Multiple of 92596 and 92605?

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 92596 and 92605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92596 and 92605, than apply into the LCM equation.

GCF(92596,92605) = 1
LCM(92596,92605) = ( 92596 × 92605) / 1
LCM(92596,92605) = 8574852580 / 1
LCM(92596,92605) = 8574852580

Least Common Multiple (LCM) of 92596 and 92605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92596 and 92605. First we will calculate the prime factors of 92596 and 92605.

Prime Factorization of 92596

Prime Factorization of 92605

Now multiplying the highest exponent prime factors to calculate the LCM of 92596 and 92605.

LCM(92596,92605) = 2² × 7¹ × 3307¹ × 5¹ × 18521¹
LCM(92596,92605) = 8574852580