What is the Least Common Multiple of 92345 and 92352?

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 92345 and 92352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92345 and 92352, than apply into the LCM equation.

GCF(92345,92352) = 1
LCM(92345,92352) = ( 92345 × 92352) / 1
LCM(92345,92352) = 8528245440 / 1
LCM(92345,92352) = 8528245440

Least Common Multiple (LCM) of 92345 and 92352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92345 and 92352. First we will calculate the prime factors of 92345 and 92352.

Prime Factorization of 92345

Prime Factorization of 92352

Now multiplying the highest exponent prime factors to calculate the LCM of 92345 and 92352.

LCM(92345,92352) = 5¹ × 11¹ × 23¹ × 73¹ × 2⁶ × 3¹ × 13¹ × 37¹
LCM(92345,92352) = 8528245440