What is the Least Common Multiple of 92936 and 92948?

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 92936 and 92948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92936 and 92948, than apply into the LCM equation.

GCF(92936,92948) = 4
LCM(92936,92948) = ( 92936 × 92948) / 4
LCM(92936,92948) = 8638215328 / 4
LCM(92936,92948) = 2159553832

Least Common Multiple (LCM) of 92936 and 92948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92936 and 92948. First we will calculate the prime factors of 92936 and 92948.

Prime Factorization of 92936

Prime Factorization of 92948

Now multiplying the highest exponent prime factors to calculate the LCM of 92936 and 92948.

LCM(92936,92948) = 2³ × 11617¹ × 19¹ × 1223¹
LCM(92936,92948) = 2159553832