What is the Least Common Multiple of 45214 and 45223?

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 45214 and 45223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45214 and 45223, than apply into the LCM equation.

GCF(45214,45223) = 1
LCM(45214,45223) = ( 45214 × 45223) / 1
LCM(45214,45223) = 2044712722 / 1
LCM(45214,45223) = 2044712722

Least Common Multiple (LCM) of 45214 and 45223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45214 and 45223. First we will calculate the prime factors of 45214 and 45223.

Prime Factorization of 45214

Prime Factorization of 45223

Now multiplying the highest exponent prime factors to calculate the LCM of 45214 and 45223.

LCM(45214,45223) = 2¹ × 13¹ × 37¹ × 47¹ × 41¹ × 1103¹
LCM(45214,45223) = 2044712722