What is the Least Common Multiple of 94216 and 94234?

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 94216 and 94234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94216 and 94234, than apply into the LCM equation.

GCF(94216,94234) = 2
LCM(94216,94234) = ( 94216 × 94234) / 2
LCM(94216,94234) = 8878350544 / 2
LCM(94216,94234) = 4439175272

Least Common Multiple (LCM) of 94216 and 94234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94216 and 94234. First we will calculate the prime factors of 94216 and 94234.

Prime Factorization of 94216

Prime Factorization of 94234

Now multiplying the highest exponent prime factors to calculate the LCM of 94216 and 94234.

LCM(94216,94234) = 2³ × 11777¹ × 7¹ × 53¹ × 127¹
LCM(94216,94234) = 4439175272