What is the Least Common Multiple of 92352 and 92371?

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 92352 and 92371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92352 and 92371, than apply into the LCM equation.

GCF(92352,92371) = 1
LCM(92352,92371) = ( 92352 × 92371) / 1
LCM(92352,92371) = 8530646592 / 1
LCM(92352,92371) = 8530646592

Least Common Multiple (LCM) of 92352 and 92371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92352 and 92371. First we will calculate the prime factors of 92352 and 92371.

Prime Factorization of 92352

Prime Factorization of 92371

Now multiplying the highest exponent prime factors to calculate the LCM of 92352 and 92371.

LCM(92352,92371) = 2⁶ × 3¹ × 13¹ × 37¹ × 71¹ × 1301¹
LCM(92352,92371) = 8530646592