What is the Least Common Multiple of 94269 and 94281?

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 94269 and 94281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94269 and 94281, than apply into the LCM equation.

GCF(94269,94281) = 3
LCM(94269,94281) = ( 94269 × 94281) / 3
LCM(94269,94281) = 8887775589 / 3
LCM(94269,94281) = 2962591863

Least Common Multiple (LCM) of 94269 and 94281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94269 and 94281. First we will calculate the prime factors of 94269 and 94281.

Prime Factorization of 94269

Prime Factorization of 94281

Now multiplying the highest exponent prime factors to calculate the LCM of 94269 and 94281.

LCM(94269,94281) = 3¹ × 7¹ × 67² × 11¹ × 2857¹
LCM(94269,94281) = 2962591863