What is the Least Common Multiple of 42309 and 42313?

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 42309 and 42313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42309 and 42313, than apply into the LCM equation.

GCF(42309,42313) = 1
LCM(42309,42313) = ( 42309 × 42313) / 1
LCM(42309,42313) = 1790220717 / 1
LCM(42309,42313) = 1790220717

Least Common Multiple (LCM) of 42309 and 42313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42309 and 42313. First we will calculate the prime factors of 42309 and 42313.

Prime Factorization of 42309

Prime Factorization of 42313

Now multiplying the highest exponent prime factors to calculate the LCM of 42309 and 42313.

LCM(42309,42313) = 3³ × 1567¹ × 17¹ × 19¹ × 131¹
LCM(42309,42313) = 1790220717