What is the Least Common Multiple of 60513 and 60531?

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 60513 and 60531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60513 and 60531, than apply into the LCM equation.

GCF(60513,60531) = 3
LCM(60513,60531) = ( 60513 × 60531) / 3
LCM(60513,60531) = 3662912403 / 3
LCM(60513,60531) = 1220970801

Least Common Multiple (LCM) of 60513 and 60531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60513 and 60531. First we will calculate the prime factors of 60513 and 60531.

Prime Factorization of 60513

Prime Factorization of 60531

Now multiplying the highest exponent prime factors to calculate the LCM of 60513 and 60531.

LCM(60513,60531) = 3¹ × 23¹ × 877¹ × 20177¹
LCM(60513,60531) = 1220970801