What is the Least Common Multiple of 92192 and 92197?

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 92192 and 92197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92192 and 92197, than apply into the LCM equation.

GCF(92192,92197) = 1
LCM(92192,92197) = ( 92192 × 92197) / 1
LCM(92192,92197) = 8499825824 / 1
LCM(92192,92197) = 8499825824

Least Common Multiple (LCM) of 92192 and 92197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92192 and 92197. First we will calculate the prime factors of 92192 and 92197.

Prime Factorization of 92192

Prime Factorization of 92197

Now multiplying the highest exponent prime factors to calculate the LCM of 92192 and 92197.

LCM(92192,92197) = 2⁵ × 43¹ × 67¹ × 7¹ × 13171¹
LCM(92192,92197) = 8499825824