What is the Least Common Multiple of 94451 and 94465?

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 94451 and 94465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94451 and 94465, than apply into the LCM equation.

GCF(94451,94465) = 7
LCM(94451,94465) = ( 94451 × 94465) / 7
LCM(94451,94465) = 8922313715 / 7
LCM(94451,94465) = 1274616245

Least Common Multiple (LCM) of 94451 and 94465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94451 and 94465. First we will calculate the prime factors of 94451 and 94465.

Prime Factorization of 94451

Prime Factorization of 94465

Now multiplying the highest exponent prime factors to calculate the LCM of 94451 and 94465.

LCM(94451,94465) = 7¹ × 103¹ × 131¹ × 5¹ × 2699¹
LCM(94451,94465) = 1274616245