What is the Least Common Multiple of 55840 and 55845?

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 55840 and 55845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55840 and 55845, than apply into the LCM equation.

GCF(55840,55845) = 5
LCM(55840,55845) = ( 55840 × 55845) / 5
LCM(55840,55845) = 3118384800 / 5
LCM(55840,55845) = 623676960

Least Common Multiple (LCM) of 55840 and 55845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55840 and 55845. First we will calculate the prime factors of 55840 and 55845.

Prime Factorization of 55840

Prime Factorization of 55845

Now multiplying the highest exponent prime factors to calculate the LCM of 55840 and 55845.

LCM(55840,55845) = 2⁵ × 5¹ × 349¹ × 3² × 17¹ × 73¹
LCM(55840,55845) = 623676960