What is the Least Common Multiple of 5633 and 5640?

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 5633 and 5640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5633 and 5640, than apply into the LCM equation.

GCF(5633,5640) = 1
LCM(5633,5640) = ( 5633 × 5640) / 1
LCM(5633,5640) = 31770120 / 1
LCM(5633,5640) = 31770120

Least Common Multiple (LCM) of 5633 and 5640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5633 and 5640. First we will calculate the prime factors of 5633 and 5640.

Prime Factorization of 5633

Prime Factorization of 5640

Now multiplying the highest exponent prime factors to calculate the LCM of 5633 and 5640.

LCM(5633,5640) = 43¹ × 131¹ × 2³ × 3¹ × 5¹ × 47¹
LCM(5633,5640) = 31770120