What is the Least Common Multiple of 63354 and 63361?

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 63354 and 63361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63354 and 63361, than apply into the LCM equation.

GCF(63354,63361) = 1
LCM(63354,63361) = ( 63354 × 63361) / 1
LCM(63354,63361) = 4014172794 / 1
LCM(63354,63361) = 4014172794

Least Common Multiple (LCM) of 63354 and 63361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63354 and 63361. First we will calculate the prime factors of 63354 and 63361.

Prime Factorization of 63354

Prime Factorization of 63361

Now multiplying the highest exponent prime factors to calculate the LCM of 63354 and 63361.

LCM(63354,63361) = 2¹ × 3¹ × 10559¹ × 63361¹
LCM(63354,63361) = 4014172794