What is the Least Common Multiple of 49305 and 49314?

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 49305 and 49314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49305 and 49314, than apply into the LCM equation.

GCF(49305,49314) = 3
LCM(49305,49314) = ( 49305 × 49314) / 3
LCM(49305,49314) = 2431426770 / 3
LCM(49305,49314) = 810475590

Least Common Multiple (LCM) of 49305 and 49314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49305 and 49314. First we will calculate the prime factors of 49305 and 49314.

Prime Factorization of 49305

Prime Factorization of 49314

Now multiplying the highest exponent prime factors to calculate the LCM of 49305 and 49314.

LCM(49305,49314) = 3¹ × 5¹ × 19¹ × 173¹ × 2¹ × 8219¹
LCM(49305,49314) = 810475590