What is the Least Common Multiple of 63624 and 63643?

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 63624 and 63643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63624 and 63643, than apply into the LCM equation.

GCF(63624,63643) = 1
LCM(63624,63643) = ( 63624 × 63643) / 1
LCM(63624,63643) = 4049222232 / 1
LCM(63624,63643) = 4049222232

Least Common Multiple (LCM) of 63624 and 63643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63624 and 63643. First we will calculate the prime factors of 63624 and 63643.

Prime Factorization of 63624

Prime Factorization of 63643

Now multiplying the highest exponent prime factors to calculate the LCM of 63624 and 63643.

LCM(63624,63643) = 2³ × 3¹ × 11¹ × 241¹ × 31¹ × 2053¹
LCM(63624,63643) = 4049222232