What is the Least Common Multiple of 43800 and 43814?

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 43800 and 43814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43800 and 43814, than apply into the LCM equation.

GCF(43800,43814) = 2
LCM(43800,43814) = ( 43800 × 43814) / 2
LCM(43800,43814) = 1919053200 / 2
LCM(43800,43814) = 959526600

Least Common Multiple (LCM) of 43800 and 43814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43800 and 43814. First we will calculate the prime factors of 43800 and 43814.

Prime Factorization of 43800

Prime Factorization of 43814

Now multiplying the highest exponent prime factors to calculate the LCM of 43800 and 43814.

LCM(43800,43814) = 2³ × 3¹ × 5² × 73¹ × 19¹ × 1153¹
LCM(43800,43814) = 959526600