What is the Least Common Multiple of 93654 and 93673?

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 93654 and 93673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93654 and 93673, than apply into the LCM equation.

GCF(93654,93673) = 1
LCM(93654,93673) = ( 93654 × 93673) / 1
LCM(93654,93673) = 8772851142 / 1
LCM(93654,93673) = 8772851142

Least Common Multiple (LCM) of 93654 and 93673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93654 and 93673. First we will calculate the prime factors of 93654 and 93673.

Prime Factorization of 93654

Prime Factorization of 93673

Now multiplying the highest exponent prime factors to calculate the LCM of 93654 and 93673.

LCM(93654,93673) = 2¹ × 3² × 11² × 43¹ × 283¹ × 331¹
LCM(93654,93673) = 8772851142