What is the Least Common Multiple of 60516 and 60536?

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 60516 and 60536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60516 and 60536, than apply into the LCM equation.

GCF(60516,60536) = 4
LCM(60516,60536) = ( 60516 × 60536) / 4
LCM(60516,60536) = 3663396576 / 4
LCM(60516,60536) = 915849144

Least Common Multiple (LCM) of 60516 and 60536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60516 and 60536. First we will calculate the prime factors of 60516 and 60536.

Prime Factorization of 60516

Prime Factorization of 60536

Now multiplying the highest exponent prime factors to calculate the LCM of 60516 and 60536.

LCM(60516,60536) = 2³ × 3² × 41² × 7¹ × 23¹ × 47¹
LCM(60516,60536) = 915849144