What is the Least Common Multiple of 63468 and 63488?

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 63468 and 63488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63468 and 63488, than apply into the LCM equation.

GCF(63468,63488) = 4
LCM(63468,63488) = ( 63468 × 63488) / 4
LCM(63468,63488) = 4029456384 / 4
LCM(63468,63488) = 1007364096

Least Common Multiple (LCM) of 63468 and 63488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63468 and 63488. First we will calculate the prime factors of 63468 and 63488.

Prime Factorization of 63468

Prime Factorization of 63488

Now multiplying the highest exponent prime factors to calculate the LCM of 63468 and 63488.

LCM(63468,63488) = 2¹¹ × 3² × 41¹ × 43¹ × 31¹
LCM(63468,63488) = 1007364096