What is the Least Common Multiple of 63597 and 63606?

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 63597 and 63606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63597 and 63606, than apply into the LCM equation.

GCF(63597,63606) = 3
LCM(63597,63606) = ( 63597 × 63606) / 3
LCM(63597,63606) = 4045150782 / 3
LCM(63597,63606) = 1348383594

Least Common Multiple (LCM) of 63597 and 63606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63597 and 63606. First we will calculate the prime factors of 63597 and 63606.

Prime Factorization of 63597

Prime Factorization of 63606

Now multiplying the highest exponent prime factors to calculate the LCM of 63597 and 63606.

LCM(63597,63606) = 3¹ × 17¹ × 29¹ × 43¹ × 2¹ × 10601¹
LCM(63597,63606) = 1348383594