What is the Least Common Multiple of 42914 and 42933?

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 42914 and 42933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42914 and 42933, than apply into the LCM equation.

GCF(42914,42933) = 1
LCM(42914,42933) = ( 42914 × 42933) / 1
LCM(42914,42933) = 1842426762 / 1
LCM(42914,42933) = 1842426762

Least Common Multiple (LCM) of 42914 and 42933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42914 and 42933. First we will calculate the prime factors of 42914 and 42933.

Prime Factorization of 42914

Prime Factorization of 42933

Now multiplying the highest exponent prime factors to calculate the LCM of 42914 and 42933.

LCM(42914,42933) = 2¹ × 43¹ × 499¹ × 3¹ × 11¹ × 1301¹
LCM(42914,42933) = 1842426762