What is the Least Common Multiple of 45314 and 45331?

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 45314 and 45331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45314 and 45331, than apply into the LCM equation.

GCF(45314,45331) = 1
LCM(45314,45331) = ( 45314 × 45331) / 1
LCM(45314,45331) = 2054128934 / 1
LCM(45314,45331) = 2054128934

Least Common Multiple (LCM) of 45314 and 45331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45314 and 45331. First we will calculate the prime factors of 45314 and 45331.

Prime Factorization of 45314

Prime Factorization of 45331

Now multiplying the highest exponent prime factors to calculate the LCM of 45314 and 45331.

LCM(45314,45331) = 2¹ × 139¹ × 163¹ × 11¹ × 13¹ × 317¹
LCM(45314,45331) = 2054128934