What is the Least Common Multiple of 45438 and 45457?

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 45438 and 45457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45438 and 45457, than apply into the LCM equation.

GCF(45438,45457) = 1
LCM(45438,45457) = ( 45438 × 45457) / 1
LCM(45438,45457) = 2065475166 / 1
LCM(45438,45457) = 2065475166

Least Common Multiple (LCM) of 45438 and 45457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45438 and 45457. First we will calculate the prime factors of 45438 and 45457.

Prime Factorization of 45438

Prime Factorization of 45457

Now multiplying the highest exponent prime factors to calculate the LCM of 45438 and 45457.

LCM(45438,45457) = 2¹ × 3¹ × 7573¹ × 131¹ × 347¹
LCM(45438,45457) = 2065475166