What is the Least Common Multiple of 63519 and 63536?

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 63519 and 63536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63519 and 63536, than apply into the LCM equation.

GCF(63519,63536) = 1
LCM(63519,63536) = ( 63519 × 63536) / 1
LCM(63519,63536) = 4035743184 / 1
LCM(63519,63536) = 4035743184

Least Common Multiple (LCM) of 63519 and 63536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63519 and 63536. First we will calculate the prime factors of 63519 and 63536.

Prime Factorization of 63519

Prime Factorization of 63536

Now multiplying the highest exponent prime factors to calculate the LCM of 63519 and 63536.

LCM(63519,63536) = 3¹ × 31¹ × 683¹ × 2⁴ × 11¹ × 19²
LCM(63519,63536) = 4035743184