What is the Least Common Multiple of 42994 and 43014?

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 42994 and 43014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42994 and 43014, than apply into the LCM equation.

GCF(42994,43014) = 2
LCM(42994,43014) = ( 42994 × 43014) / 2
LCM(42994,43014) = 1849343916 / 2
LCM(42994,43014) = 924671958

Least Common Multiple (LCM) of 42994 and 43014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42994 and 43014. First we will calculate the prime factors of 42994 and 43014.

Prime Factorization of 42994

Prime Factorization of 43014

Now multiplying the highest exponent prime factors to calculate the LCM of 42994 and 43014.

LCM(42994,43014) = 2¹ × 7¹ × 37¹ × 83¹ × 3¹ × 67¹ × 107¹
LCM(42994,43014) = 924671958