What is the Least Common Multiple of 93424 and 93444?

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 93424 and 93444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93424 and 93444, than apply into the LCM equation.

GCF(93424,93444) = 4
LCM(93424,93444) = ( 93424 × 93444) / 4
LCM(93424,93444) = 8729912256 / 4
LCM(93424,93444) = 2182478064

Least Common Multiple (LCM) of 93424 and 93444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93424 and 93444. First we will calculate the prime factors of 93424 and 93444.

Prime Factorization of 93424

Prime Factorization of 93444

Now multiplying the highest exponent prime factors to calculate the LCM of 93424 and 93444.

LCM(93424,93444) = 2⁴ × 5839¹ × 3¹ × 13¹ × 599¹
LCM(93424,93444) = 2182478064