What is the Least Common Multiple of 63536 and 63553?

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 63536 and 63553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63536 and 63553, than apply into the LCM equation.

GCF(63536,63553) = 1
LCM(63536,63553) = ( 63536 × 63553) / 1
LCM(63536,63553) = 4037903408 / 1
LCM(63536,63553) = 4037903408

Least Common Multiple (LCM) of 63536 and 63553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63536 and 63553. First we will calculate the prime factors of 63536 and 63553.

Prime Factorization of 63536

Prime Factorization of 63553

Now multiplying the highest exponent prime factors to calculate the LCM of 63536 and 63553.

LCM(63536,63553) = 2⁴ × 11¹ × 19² × 7² × 1297¹
LCM(63536,63553) = 4037903408