What is the Least Common Multiple of 94414 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 94414 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 94414 and 94430, than apply into the LCM equation.

GCF(94414,94430) = 2
LCM(94414,94430) = ( 94414 × 94430) / 2
LCM(94414,94430) = 8915514020 / 2
LCM(94414,94430) = 4457757010

Least Common Multiple (LCM) of 94414 and 94430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94414 and 94430. First we will calculate the prime factors of 94414 and 94430.

Prime Factorization of 94414

Prime Factorization of 94430

Now multiplying the highest exponent prime factors to calculate the LCM of 94414 and 94430.

LCM(94414,94430) = 2¹ × 47207¹ × 5¹ × 7¹ × 19¹ × 71¹
LCM(94414,94430) = 4457757010