What is the Least Common Multiple of 89093 and 89102?

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 89093 and 89102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89093 and 89102, than apply into the LCM equation.

GCF(89093,89102) = 1
LCM(89093,89102) = ( 89093 × 89102) / 1
LCM(89093,89102) = 7938364486 / 1
LCM(89093,89102) = 7938364486

Least Common Multiple (LCM) of 89093 and 89102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89093 and 89102. First we will calculate the prime factors of 89093 and 89102.

Prime Factorization of 89093

Prime Factorization of 89102

Now multiplying the highest exponent prime factors to calculate the LCM of 89093 and 89102.

LCM(89093,89102) = 41² × 53¹ × 2¹ × 13¹ × 23¹ × 149¹
LCM(89093,89102) = 7938364486