What is the Least Common Multiple of 63830 and 63843?

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 63830 and 63843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63830 and 63843, than apply into the LCM equation.

GCF(63830,63843) = 13
LCM(63830,63843) = ( 63830 × 63843) / 13
LCM(63830,63843) = 4075098690 / 13
LCM(63830,63843) = 313469130

Least Common Multiple (LCM) of 63830 and 63843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63830 and 63843. First we will calculate the prime factors of 63830 and 63843.

Prime Factorization of 63830

Prime Factorization of 63843

Now multiplying the highest exponent prime factors to calculate the LCM of 63830 and 63843.

LCM(63830,63843) = 2¹ × 5¹ × 13¹ × 491¹ × 3¹ × 1637¹
LCM(63830,63843) = 313469130