What is the Least Common Multiple of 93738 and 93747?

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 93738 and 93747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93738 and 93747, than apply into the LCM equation.

GCF(93738,93747) = 3
LCM(93738,93747) = ( 93738 × 93747) / 3
LCM(93738,93747) = 8787656286 / 3
LCM(93738,93747) = 2929218762

Least Common Multiple (LCM) of 93738 and 93747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93738 and 93747. First we will calculate the prime factors of 93738 and 93747.

Prime Factorization of 93738

Prime Factorization of 93747

Now multiplying the highest exponent prime factors to calculate the LCM of 93738 and 93747.

LCM(93738,93747) = 2¹ × 3¹ × 17¹ × 919¹ × 31249¹
LCM(93738,93747) = 2929218762