What is the Least Common Multiple of 63200 and 63206?

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 63200 and 63206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63200 and 63206, than apply into the LCM equation.

GCF(63200,63206) = 2
LCM(63200,63206) = ( 63200 × 63206) / 2
LCM(63200,63206) = 3994619200 / 2
LCM(63200,63206) = 1997309600

Least Common Multiple (LCM) of 63200 and 63206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63200 and 63206. First we will calculate the prime factors of 63200 and 63206.

Prime Factorization of 63200

Prime Factorization of 63206

Now multiplying the highest exponent prime factors to calculate the LCM of 63200 and 63206.

LCM(63200,63206) = 2⁵ × 5² × 79¹ × 11¹ × 13² × 17¹
LCM(63200,63206) = 1997309600