What is the Least Common Multiple of 63744 and 63755?

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 63744 and 63755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63744 and 63755, than apply into the LCM equation.

GCF(63744,63755) = 1
LCM(63744,63755) = ( 63744 × 63755) / 1
LCM(63744,63755) = 4063998720 / 1
LCM(63744,63755) = 4063998720

Least Common Multiple (LCM) of 63744 and 63755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63744 and 63755. First we will calculate the prime factors of 63744 and 63755.

Prime Factorization of 63744

Prime Factorization of 63755

Now multiplying the highest exponent prime factors to calculate the LCM of 63744 and 63755.

LCM(63744,63755) = 2⁸ × 3¹ × 83¹ × 5¹ × 41¹ × 311¹
LCM(63744,63755) = 4063998720