What is the Least Common Multiple of 60296 and 60316?

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 60296 and 60316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60296 and 60316, than apply into the LCM equation.

GCF(60296,60316) = 4
LCM(60296,60316) = ( 60296 × 60316) / 4
LCM(60296,60316) = 3636813536 / 4
LCM(60296,60316) = 909203384

Least Common Multiple (LCM) of 60296 and 60316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60296 and 60316. First we will calculate the prime factors of 60296 and 60316.

Prime Factorization of 60296

Prime Factorization of 60316

Now multiplying the highest exponent prime factors to calculate the LCM of 60296 and 60316.

LCM(60296,60316) = 2³ × 7537¹ × 17¹ × 887¹
LCM(60296,60316) = 909203384