What is the Least Common Multiple of 51830 and 51838?

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 51830 and 51838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51830 and 51838, than apply into the LCM equation.

GCF(51830,51838) = 2
LCM(51830,51838) = ( 51830 × 51838) / 2
LCM(51830,51838) = 2686763540 / 2
LCM(51830,51838) = 1343381770

Least Common Multiple (LCM) of 51830 and 51838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51830 and 51838. First we will calculate the prime factors of 51830 and 51838.

Prime Factorization of 51830

Prime Factorization of 51838

Now multiplying the highest exponent prime factors to calculate the LCM of 51830 and 51838.

LCM(51830,51838) = 2¹ × 5¹ × 71¹ × 73¹ × 25919¹
LCM(51830,51838) = 1343381770