What is the Least Common Multiple of 63522 and 63530?

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 63522 and 63530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63522 and 63530, than apply into the LCM equation.

GCF(63522,63530) = 2
LCM(63522,63530) = ( 63522 × 63530) / 2
LCM(63522,63530) = 4035552660 / 2
LCM(63522,63530) = 2017776330

Least Common Multiple (LCM) of 63522 and 63530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63522 and 63530. First we will calculate the prime factors of 63522 and 63530.

Prime Factorization of 63522

Prime Factorization of 63530

Now multiplying the highest exponent prime factors to calculate the LCM of 63522 and 63530.

LCM(63522,63530) = 2¹ × 3² × 3529¹ × 5¹ × 6353¹
LCM(63522,63530) = 2017776330