What is the Least Common Multiple of 45840 and 45848?

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 45840 and 45848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45840 and 45848, than apply into the LCM equation.

GCF(45840,45848) = 8
LCM(45840,45848) = ( 45840 × 45848) / 8
LCM(45840,45848) = 2101672320 / 8
LCM(45840,45848) = 262709040

Least Common Multiple (LCM) of 45840 and 45848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45840 and 45848. First we will calculate the prime factors of 45840 and 45848.

Prime Factorization of 45840

Prime Factorization of 45848

Now multiplying the highest exponent prime factors to calculate the LCM of 45840 and 45848.

LCM(45840,45848) = 2⁴ × 3¹ × 5¹ × 191¹ × 11¹ × 521¹
LCM(45840,45848) = 262709040