What is the Least Common Multiple of 63600 and 63609?

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 63600 and 63609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63600 and 63609, than apply into the LCM equation.

GCF(63600,63609) = 3
LCM(63600,63609) = ( 63600 × 63609) / 3
LCM(63600,63609) = 4045532400 / 3
LCM(63600,63609) = 1348510800

Least Common Multiple (LCM) of 63600 and 63609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63600 and 63609. First we will calculate the prime factors of 63600 and 63609.

Prime Factorization of 63600

Prime Factorization of 63609

Now multiplying the highest exponent prime factors to calculate the LCM of 63600 and 63609.

LCM(63600,63609) = 2⁴ × 3¹ × 5² × 53¹ × 7¹ × 13¹ × 233¹
LCM(63600,63609) = 1348510800