What is the Least Common Multiple of 45354 and 45362?

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 45354 and 45362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45354 and 45362, than apply into the LCM equation.

GCF(45354,45362) = 2
LCM(45354,45362) = ( 45354 × 45362) / 2
LCM(45354,45362) = 2057348148 / 2
LCM(45354,45362) = 1028674074

Least Common Multiple (LCM) of 45354 and 45362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45354 and 45362. First we will calculate the prime factors of 45354 and 45362.

Prime Factorization of 45354

Prime Factorization of 45362

Now multiplying the highest exponent prime factors to calculate the LCM of 45354 and 45362.

LCM(45354,45362) = 2¹ × 3¹ × 7559¹ × 37¹ × 613¹
LCM(45354,45362) = 1028674074