What is the Least Common Multiple of 94830 and 94839?

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 94830 and 94839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94830 and 94839, than apply into the LCM equation.

GCF(94830,94839) = 3
LCM(94830,94839) = ( 94830 × 94839) / 3
LCM(94830,94839) = 8993582370 / 3
LCM(94830,94839) = 2997860790

Least Common Multiple (LCM) of 94830 and 94839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94830 and 94839. First we will calculate the prime factors of 94830 and 94839.

Prime Factorization of 94830

Prime Factorization of 94839

Now multiplying the highest exponent prime factors to calculate the LCM of 94830 and 94839.

LCM(94830,94839) = 2¹ × 3¹ × 5¹ × 29¹ × 109¹ × 101¹ × 313¹
LCM(94830,94839) = 2997860790