What is the Least Common Multiple of 63305 and 63311?

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 63305 and 63311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63305 and 63311, than apply into the LCM equation.

GCF(63305,63311) = 1
LCM(63305,63311) = ( 63305 × 63311) / 1
LCM(63305,63311) = 4007902855 / 1
LCM(63305,63311) = 4007902855

Least Common Multiple (LCM) of 63305 and 63311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63305 and 63311. First we will calculate the prime factors of 63305 and 63311.

Prime Factorization of 63305

Prime Factorization of 63311

Now multiplying the highest exponent prime factors to calculate the LCM of 63305 and 63311.

LCM(63305,63311) = 5¹ × 11¹ × 1151¹ × 63311¹
LCM(63305,63311) = 4007902855