What is the Least Common Multiple of 92646 and 92653?

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 92646 and 92653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92646 and 92653, than apply into the LCM equation.

GCF(92646,92653) = 1
LCM(92646,92653) = ( 92646 × 92653) / 1
LCM(92646,92653) = 8583929838 / 1
LCM(92646,92653) = 8583929838

Least Common Multiple (LCM) of 92646 and 92653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92646 and 92653. First we will calculate the prime factors of 92646 and 92653.

Prime Factorization of 92646

Prime Factorization of 92653

Now multiplying the highest exponent prime factors to calculate the LCM of 92646 and 92653.

LCM(92646,92653) = 2¹ × 3² × 5147¹ × 11¹ × 8423¹
LCM(92646,92653) = 8583929838