What is the Least Common Multiple of 93738 and 93746?

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 93746 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 93746, than apply into the LCM equation.

GCF(93738,93746) = 2
LCM(93738,93746) = ( 93738 × 93746) / 2
LCM(93738,93746) = 8787562548 / 2
LCM(93738,93746) = 4393781274

Least Common Multiple (LCM) of 93738 and 93746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93738 and 93746. First we will calculate the prime factors of 93738 and 93746.

Prime Factorization of 93738

Prime Factorization of 93746

Now multiplying the highest exponent prime factors to calculate the LCM of 93738 and 93746.

LCM(93738,93746) = 2¹ × 3¹ × 17¹ × 919¹ × 19¹ × 2467¹
LCM(93738,93746) = 4393781274