What is the Least Common Multiple of 63521 and 63532?

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 63521 and 63532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63521 and 63532, than apply into the LCM equation.

GCF(63521,63532) = 1
LCM(63521,63532) = ( 63521 × 63532) / 1
LCM(63521,63532) = 4035616172 / 1
LCM(63521,63532) = 4035616172

Least Common Multiple (LCM) of 63521 and 63532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63521 and 63532. First we will calculate the prime factors of 63521 and 63532.

Prime Factorization of 63521

Prime Factorization of 63532

Now multiplying the highest exponent prime factors to calculate the LCM of 63521 and 63532.

LCM(63521,63532) = 63521¹ × 2² × 7¹ × 2269¹
LCM(63521,63532) = 4035616172