What is the Least Common Multiple of 55830 and 55840?

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 55830 and 55840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55830 and 55840, than apply into the LCM equation.

GCF(55830,55840) = 10
LCM(55830,55840) = ( 55830 × 55840) / 10
LCM(55830,55840) = 3117547200 / 10
LCM(55830,55840) = 311754720

Least Common Multiple (LCM) of 55830 and 55840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55830 and 55840. First we will calculate the prime factors of 55830 and 55840.

Prime Factorization of 55830

Prime Factorization of 55840

Now multiplying the highest exponent prime factors to calculate the LCM of 55830 and 55840.

LCM(55830,55840) = 2⁵ × 3¹ × 5¹ × 1861¹ × 349¹
LCM(55830,55840) = 311754720