What is the Least Common Multiple of 94415 and 94430?

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 94415 and 94430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94415 and 94430, than apply into the LCM equation.

GCF(94415,94430) = 5
LCM(94415,94430) = ( 94415 × 94430) / 5
LCM(94415,94430) = 8915608450 / 5
LCM(94415,94430) = 1783121690

Least Common Multiple (LCM) of 94415 and 94430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94415 and 94430. First we will calculate the prime factors of 94415 and 94430.

Prime Factorization of 94415

Prime Factorization of 94430

Now multiplying the highest exponent prime factors to calculate the LCM of 94415 and 94430.

LCM(94415,94430) = 5¹ × 23¹ × 821¹ × 2¹ × 7¹ × 19¹ × 71¹
LCM(94415,94430) = 1783121690