What is the Least Common Multiple of 89194 and 89207?

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 89194 and 89207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89194 and 89207, than apply into the LCM equation.

GCF(89194,89207) = 1
LCM(89194,89207) = ( 89194 × 89207) / 1
LCM(89194,89207) = 7956729158 / 1
LCM(89194,89207) = 7956729158

Least Common Multiple (LCM) of 89194 and 89207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89194 and 89207. First we will calculate the prime factors of 89194 and 89207.

Prime Factorization of 89194

Prime Factorization of 89207

Now multiplying the highest exponent prime factors to calculate the LCM of 89194 and 89207.

LCM(89194,89207) = 2¹ × 7¹ × 23¹ × 277¹ × 37¹ × 2411¹
LCM(89194,89207) = 7956729158