What is the Least Common Multiple of 92352 and 92365?

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 92365 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 92365, than apply into the LCM equation.

GCF(92352,92365) = 13
LCM(92352,92365) = ( 92352 × 92365) / 13
LCM(92352,92365) = 8530092480 / 13
LCM(92352,92365) = 656160960

Least Common Multiple (LCM) of 92352 and 92365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92352 and 92365. First we will calculate the prime factors of 92352 and 92365.

Prime Factorization of 92352

Prime Factorization of 92365

Now multiplying the highest exponent prime factors to calculate the LCM of 92352 and 92365.

LCM(92352,92365) = 2⁶ × 3¹ × 13¹ × 37¹ × 5¹ × 7² × 29¹
LCM(92352,92365) = 656160960