What is the Least Common Multiple of 92648 and 92668?

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 92648 and 92668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92648 and 92668, than apply into the LCM equation.

GCF(92648,92668) = 4
LCM(92648,92668) = ( 92648 × 92668) / 4
LCM(92648,92668) = 8585504864 / 4
LCM(92648,92668) = 2146376216

Least Common Multiple (LCM) of 92648 and 92668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92648 and 92668. First we will calculate the prime factors of 92648 and 92668.

Prime Factorization of 92648

Prime Factorization of 92668

Now multiplying the highest exponent prime factors to calculate the LCM of 92648 and 92668.

LCM(92648,92668) = 2³ × 37¹ × 313¹ × 23167¹
LCM(92648,92668) = 2146376216