What is the Least Common Multiple of 45192 and 45203?

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 45192 and 45203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45192 and 45203, than apply into the LCM equation.

GCF(45192,45203) = 1
LCM(45192,45203) = ( 45192 × 45203) / 1
LCM(45192,45203) = 2042813976 / 1
LCM(45192,45203) = 2042813976

Least Common Multiple (LCM) of 45192 and 45203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45192 and 45203. First we will calculate the prime factors of 45192 and 45203.

Prime Factorization of 45192

Prime Factorization of 45203

Now multiplying the highest exponent prime factors to calculate the LCM of 45192 and 45203.

LCM(45192,45203) = 2³ × 3¹ × 7¹ × 269¹ × 17¹ × 2659¹
LCM(45192,45203) = 2042813976