What is the Least Common Multiple of 45854 and 45872?

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 45854 and 45872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45854 and 45872, than apply into the LCM equation.

GCF(45854,45872) = 2
LCM(45854,45872) = ( 45854 × 45872) / 2
LCM(45854,45872) = 2103414688 / 2
LCM(45854,45872) = 1051707344

Least Common Multiple (LCM) of 45854 and 45872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45854 and 45872. First we will calculate the prime factors of 45854 and 45872.

Prime Factorization of 45854

Prime Factorization of 45872

Now multiplying the highest exponent prime factors to calculate the LCM of 45854 and 45872.

LCM(45854,45872) = 2⁴ × 101¹ × 227¹ × 47¹ × 61¹
LCM(45854,45872) = 1051707344