What is the Least Common Multiple of 63744 and 63762?

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 63762 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 63762, than apply into the LCM equation.

GCF(63744,63762) = 6
LCM(63744,63762) = ( 63744 × 63762) / 6
LCM(63744,63762) = 4064444928 / 6
LCM(63744,63762) = 677407488

Least Common Multiple (LCM) of 63744 and 63762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63744 and 63762. First we will calculate the prime factors of 63744 and 63762.

Prime Factorization of 63744

Prime Factorization of 63762

Now multiplying the highest exponent prime factors to calculate the LCM of 63744 and 63762.

LCM(63744,63762) = 2⁸ × 3¹ × 83¹ × 10627¹
LCM(63744,63762) = 677407488