What is the Least Common Multiple of 63800 and 63814?

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 63800 and 63814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63800 and 63814, than apply into the LCM equation.

GCF(63800,63814) = 2
LCM(63800,63814) = ( 63800 × 63814) / 2
LCM(63800,63814) = 4071333200 / 2
LCM(63800,63814) = 2035666600

Least Common Multiple (LCM) of 63800 and 63814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63800 and 63814. First we will calculate the prime factors of 63800 and 63814.

Prime Factorization of 63800

Prime Factorization of 63814

Now multiplying the highest exponent prime factors to calculate the LCM of 63800 and 63814.

LCM(63800,63814) = 2³ × 5² × 11¹ × 29¹ × 31907¹
LCM(63800,63814) = 2035666600