What is the Least Common Multiple of 63825 and 63830?

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 63825 and 63830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63825 and 63830, than apply into the LCM equation.

GCF(63825,63830) = 5
LCM(63825,63830) = ( 63825 × 63830) / 5
LCM(63825,63830) = 4073949750 / 5
LCM(63825,63830) = 814789950

Least Common Multiple (LCM) of 63825 and 63830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63825 and 63830. First we will calculate the prime factors of 63825 and 63830.

Prime Factorization of 63825

Prime Factorization of 63830

Now multiplying the highest exponent prime factors to calculate the LCM of 63825 and 63830.

LCM(63825,63830) = 3¹ × 5² × 23¹ × 37¹ × 2¹ × 13¹ × 491¹
LCM(63825,63830) = 814789950