What is the Least Common Multiple of 59600 and 59605?

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 59600 and 59605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59600 and 59605, than apply into the LCM equation.

GCF(59600,59605) = 5
LCM(59600,59605) = ( 59600 × 59605) / 5
LCM(59600,59605) = 3552458000 / 5
LCM(59600,59605) = 710491600

Least Common Multiple (LCM) of 59600 and 59605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59600 and 59605. First we will calculate the prime factors of 59600 and 59605.

Prime Factorization of 59600

Prime Factorization of 59605

Now multiplying the highest exponent prime factors to calculate the LCM of 59600 and 59605.

LCM(59600,59605) = 2⁴ × 5² × 149¹ × 7¹ × 13¹ × 131¹
LCM(59600,59605) = 710491600