What is the Least Common Multiple of 55830 and 55838?

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 55838 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 55838, than apply into the LCM equation.

GCF(55830,55838) = 2
LCM(55830,55838) = ( 55830 × 55838) / 2
LCM(55830,55838) = 3117435540 / 2
LCM(55830,55838) = 1558717770

Least Common Multiple (LCM) of 55830 and 55838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55830 and 55838. First we will calculate the prime factors of 55830 and 55838.

Prime Factorization of 55830

Prime Factorization of 55838

Now multiplying the highest exponent prime factors to calculate the LCM of 55830 and 55838.

LCM(55830,55838) = 2¹ × 3¹ × 5¹ × 1861¹ × 27919¹
LCM(55830,55838) = 1558717770