What is the Least Common Multiple of 92192 and 92206?

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 92206 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 92206, than apply into the LCM equation.

GCF(92192,92206) = 2
LCM(92192,92206) = ( 92192 × 92206) / 2
LCM(92192,92206) = 8500655552 / 2
LCM(92192,92206) = 4250327776

Least Common Multiple (LCM) of 92192 and 92206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92192 and 92206. First we will calculate the prime factors of 92192 and 92206.

Prime Factorization of 92192

Prime Factorization of 92206

Now multiplying the highest exponent prime factors to calculate the LCM of 92192 and 92206.

LCM(92192,92206) = 2⁵ × 43¹ × 67¹ × 46103¹
LCM(92192,92206) = 4250327776