What is the Least Common Multiple of 94234 and 94246?

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 94234 and 94246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94234 and 94246, than apply into the LCM equation.

GCF(94234,94246) = 2
LCM(94234,94246) = ( 94234 × 94246) / 2
LCM(94234,94246) = 8881177564 / 2
LCM(94234,94246) = 4440588782

Least Common Multiple (LCM) of 94234 and 94246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94234 and 94246. First we will calculate the prime factors of 94234 and 94246.

Prime Factorization of 94234

Prime Factorization of 94246

Now multiplying the highest exponent prime factors to calculate the LCM of 94234 and 94246.

LCM(94234,94246) = 2¹ × 7¹ × 53¹ × 127¹ × 47123¹
LCM(94234,94246) = 4440588782