What is the Least Common Multiple of 60496 and 60504?

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 60504 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 60504, than apply into the LCM equation.

GCF(60496,60504) = 8
LCM(60496,60504) = ( 60496 × 60504) / 8
LCM(60496,60504) = 3660249984 / 8
LCM(60496,60504) = 457531248

Least Common Multiple (LCM) of 60496 and 60504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60496 and 60504. First we will calculate the prime factors of 60496 and 60504.

Prime Factorization of 60496

Prime Factorization of 60504

Now multiplying the highest exponent prime factors to calculate the LCM of 60496 and 60504.

LCM(60496,60504) = 2⁴ × 19¹ × 199¹ × 3¹ × 2521¹
LCM(60496,60504) = 457531248