What is the Least Common Multiple of 60496 and 60506?

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 60496 and 60506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60496 and 60506, than apply into the LCM equation.

GCF(60496,60506) = 2
LCM(60496,60506) = ( 60496 × 60506) / 2
LCM(60496,60506) = 3660370976 / 2
LCM(60496,60506) = 1830185488

Least Common Multiple (LCM) of 60496 and 60506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60496 and 60506. First we will calculate the prime factors of 60496 and 60506.

Prime Factorization of 60496

Prime Factorization of 60506

Now multiplying the highest exponent prime factors to calculate the LCM of 60496 and 60506.

LCM(60496,60506) = 2⁴ × 19¹ × 199¹ × 30253¹
LCM(60496,60506) = 1830185488