What is the Least Common Multiple of 63597 and 63607?

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 63607 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 63607, than apply into the LCM equation.

GCF(63597,63607) = 1
LCM(63597,63607) = ( 63597 × 63607) / 1
LCM(63597,63607) = 4045214379 / 1
LCM(63597,63607) = 4045214379

Least Common Multiple (LCM) of 63597 and 63607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63597 and 63607. First we will calculate the prime factors of 63597 and 63607.

Prime Factorization of 63597

Prime Factorization of 63607

Now multiplying the highest exponent prime factors to calculate the LCM of 63597 and 63607.

LCM(63597,63607) = 3¹ × 17¹ × 29¹ × 43¹ × 63607¹
LCM(63597,63607) = 4045214379