What is the Least Common Multiple of 94225 and 94242?

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 94225 and 94242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94225 and 94242, than apply into the LCM equation.

GCF(94225,94242) = 1
LCM(94225,94242) = ( 94225 × 94242) / 1
LCM(94225,94242) = 8879952450 / 1
LCM(94225,94242) = 8879952450

Least Common Multiple (LCM) of 94225 and 94242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94225 and 94242. First we will calculate the prime factors of 94225 and 94242.

Prime Factorization of 94225

Prime Factorization of 94242

Now multiplying the highest exponent prime factors to calculate the LCM of 94225 and 94242.

LCM(94225,94242) = 5² × 3769¹ × 2¹ × 3¹ × 113¹ × 139¹
LCM(94225,94242) = 8879952450