What is the Least Common Multiple of 63596 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 63596 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 63596 and 63609, than apply into the LCM equation.

GCF(63596,63609) = 13
LCM(63596,63609) = ( 63596 × 63609) / 13
LCM(63596,63609) = 4045277964 / 13
LCM(63596,63609) = 311175228

Least Common Multiple (LCM) of 63596 and 63609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63596 and 63609. First we will calculate the prime factors of 63596 and 63609.

Prime Factorization of 63596

Prime Factorization of 63609

Now multiplying the highest exponent prime factors to calculate the LCM of 63596 and 63609.

LCM(63596,63609) = 2² × 13¹ × 1223¹ × 3¹ × 7¹ × 233¹
LCM(63596,63609) = 311175228