What is the Least Common Multiple of 93674 and 93690?

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 93674 and 93690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93674 and 93690, than apply into the LCM equation.

GCF(93674,93690) = 2
LCM(93674,93690) = ( 93674 × 93690) / 2
LCM(93674,93690) = 8776317060 / 2
LCM(93674,93690) = 4388158530

Least Common Multiple (LCM) of 93674 and 93690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93674 and 93690. First we will calculate the prime factors of 93674 and 93690.

Prime Factorization of 93674

Prime Factorization of 93690

Now multiplying the highest exponent prime factors to calculate the LCM of 93674 and 93690.

LCM(93674,93690) = 2¹ × 7¹ × 6691¹ × 3³ × 5¹ × 347¹
LCM(93674,93690) = 4388158530