What is the Least Common Multiple of 63744 and 63758?

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 63758 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 63758, than apply into the LCM equation.

GCF(63744,63758) = 2
LCM(63744,63758) = ( 63744 × 63758) / 2
LCM(63744,63758) = 4064189952 / 2
LCM(63744,63758) = 2032094976

Least Common Multiple (LCM) of 63744 and 63758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63744 and 63758. First we will calculate the prime factors of 63744 and 63758.

Prime Factorization of 63744

Prime Factorization of 63758

Now multiplying the highest exponent prime factors to calculate the LCM of 63744 and 63758.

LCM(63744,63758) = 2⁸ × 3¹ × 83¹ × 71¹ × 449¹
LCM(63744,63758) = 2032094976