What is the Least Common Multiple of 94278 and 94297?

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 94278 and 94297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94278 and 94297, than apply into the LCM equation.

GCF(94278,94297) = 19
LCM(94278,94297) = ( 94278 × 94297) / 19
LCM(94278,94297) = 8890132566 / 19
LCM(94278,94297) = 467901714

Least Common Multiple (LCM) of 94278 and 94297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94278 and 94297. First we will calculate the prime factors of 94278 and 94297.

Prime Factorization of 94278

Prime Factorization of 94297

Now multiplying the highest exponent prime factors to calculate the LCM of 94278 and 94297.

LCM(94278,94297) = 2¹ × 3¹ × 19¹ × 827¹ × 7¹ × 709¹
LCM(94278,94297) = 467901714