What is the Least Common Multiple of 42993 and 43010?

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 43010 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 43010, than apply into the LCM equation.

GCF(42993,43010) = 17
LCM(42993,43010) = ( 42993 × 43010) / 17
LCM(42993,43010) = 1849128930 / 17
LCM(42993,43010) = 108772290

Least Common Multiple (LCM) of 42993 and 43010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42993 and 43010. First we will calculate the prime factors of 42993 and 43010.

Prime Factorization of 42993

Prime Factorization of 43010

Now multiplying the highest exponent prime factors to calculate the LCM of 42993 and 43010.

LCM(42993,43010) = 3² × 17¹ × 281¹ × 2¹ × 5¹ × 11¹ × 23¹
LCM(42993,43010) = 108772290