What is the Least Common Multiple of 92290 and 92296?

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 92290 and 92296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92290 and 92296, than apply into the LCM equation.

GCF(92290,92296) = 2
LCM(92290,92296) = ( 92290 × 92296) / 2
LCM(92290,92296) = 8517997840 / 2
LCM(92290,92296) = 4258998920

Least Common Multiple (LCM) of 92290 and 92296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92290 and 92296. First we will calculate the prime factors of 92290 and 92296.

Prime Factorization of 92290

Prime Factorization of 92296

Now multiplying the highest exponent prime factors to calculate the LCM of 92290 and 92296.

LCM(92290,92296) = 2³ × 5¹ × 11¹ × 839¹ × 83¹ × 139¹
LCM(92290,92296) = 4258998920