What is the Least Common Multiple of 63738 and 63750?

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 63738 and 63750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63738 and 63750, than apply into the LCM equation.

GCF(63738,63750) = 6
LCM(63738,63750) = ( 63738 × 63750) / 6
LCM(63738,63750) = 4063297500 / 6
LCM(63738,63750) = 677216250

Least Common Multiple (LCM) of 63738 and 63750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63738 and 63750. First we will calculate the prime factors of 63738 and 63750.

Prime Factorization of 63738

Prime Factorization of 63750

Now multiplying the highest exponent prime factors to calculate the LCM of 63738 and 63750.

LCM(63738,63750) = 2¹ × 3² × 3541¹ × 5⁴ × 17¹
LCM(63738,63750) = 677216250