What is the Least Common Multiple of 42849 and 42867?

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 42849 and 42867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42849 and 42867, than apply into the LCM equation.

GCF(42849,42867) = 9
LCM(42849,42867) = ( 42849 × 42867) / 9
LCM(42849,42867) = 1836808083 / 9
LCM(42849,42867) = 204089787

Least Common Multiple (LCM) of 42849 and 42867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42849 and 42867. First we will calculate the prime factors of 42849 and 42867.

Prime Factorization of 42849

Prime Factorization of 42867

Now multiplying the highest exponent prime factors to calculate the LCM of 42849 and 42867.

LCM(42849,42867) = 3⁴ × 23² × 11¹ × 433¹
LCM(42849,42867) = 204089787