What is the Least Common Multiple of 52632 and 52649?

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 52632 and 52649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52632 and 52649, than apply into the LCM equation.

GCF(52632,52649) = 17
LCM(52632,52649) = ( 52632 × 52649) / 17
LCM(52632,52649) = 2771022168 / 17
LCM(52632,52649) = 163001304

Least Common Multiple (LCM) of 52632 and 52649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52632 and 52649. First we will calculate the prime factors of 52632 and 52649.

Prime Factorization of 52632

Prime Factorization of 52649

Now multiplying the highest exponent prime factors to calculate the LCM of 52632 and 52649.

LCM(52632,52649) = 2³ × 3² × 17¹ × 43¹ × 19¹ × 163¹
LCM(52632,52649) = 163001304