What is the Least Common Multiple of 45340 and 45349?

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 45340 and 45349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45340 and 45349, than apply into the LCM equation.

GCF(45340,45349) = 1
LCM(45340,45349) = ( 45340 × 45349) / 1
LCM(45340,45349) = 2056123660 / 1
LCM(45340,45349) = 2056123660

Least Common Multiple (LCM) of 45340 and 45349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45340 and 45349. First we will calculate the prime factors of 45340 and 45349.

Prime Factorization of 45340

Prime Factorization of 45349

Now multiplying the highest exponent prime factors to calculate the LCM of 45340 and 45349.

LCM(45340,45349) = 2² × 5¹ × 2267¹ × 101¹ × 449¹
LCM(45340,45349) = 2056123660