What is the Least Common Multiple of 63750 and 63768?

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 63750 and 63768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63750 and 63768, than apply into the LCM equation.

GCF(63750,63768) = 6
LCM(63750,63768) = ( 63750 × 63768) / 6
LCM(63750,63768) = 4065210000 / 6
LCM(63750,63768) = 677535000

Least Common Multiple (LCM) of 63750 and 63768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63750 and 63768. First we will calculate the prime factors of 63750 and 63768.

Prime Factorization of 63750

Prime Factorization of 63768

Now multiplying the highest exponent prime factors to calculate the LCM of 63750 and 63768.

LCM(63750,63768) = 2³ × 3¹ × 5⁴ × 17¹ × 2657¹
LCM(63750,63768) = 677535000