What is the Least Common Multiple of 89138 and 89147?

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 89138 and 89147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89138 and 89147, than apply into the LCM equation.

GCF(89138,89147) = 1
LCM(89138,89147) = ( 89138 × 89147) / 1
LCM(89138,89147) = 7946385286 / 1
LCM(89138,89147) = 7946385286

Least Common Multiple (LCM) of 89138 and 89147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89138 and 89147. First we will calculate the prime factors of 89138 and 89147.

Prime Factorization of 89138

Prime Factorization of 89147

Now multiplying the highest exponent prime factors to calculate the LCM of 89138 and 89147.

LCM(89138,89147) = 2¹ × 7¹ × 6367¹ × 239¹ × 373¹
LCM(89138,89147) = 7946385286