What is the Least Common Multiple of 42993 and 43011?

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 42993 and 43011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42993 and 43011, than apply into the LCM equation.

GCF(42993,43011) = 9
LCM(42993,43011) = ( 42993 × 43011) / 9
LCM(42993,43011) = 1849171923 / 9
LCM(42993,43011) = 205463547

Least Common Multiple (LCM) of 42993 and 43011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42993 and 43011. First we will calculate the prime factors of 42993 and 43011.

Prime Factorization of 42993

Prime Factorization of 43011

Now multiplying the highest exponent prime factors to calculate the LCM of 42993 and 43011.

LCM(42993,43011) = 3⁶ × 17¹ × 281¹ × 59¹
LCM(42993,43011) = 205463547