What is the Least Common Multiple of 56830 and 56842?

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 56830 and 56842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56830 and 56842, than apply into the LCM equation.

GCF(56830,56842) = 2
LCM(56830,56842) = ( 56830 × 56842) / 2
LCM(56830,56842) = 3230330860 / 2
LCM(56830,56842) = 1615165430

Least Common Multiple (LCM) of 56830 and 56842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56830 and 56842. First we will calculate the prime factors of 56830 and 56842.

Prime Factorization of 56830

Prime Factorization of 56842

Now multiplying the highest exponent prime factors to calculate the LCM of 56830 and 56842.

LCM(56830,56842) = 2¹ × 5¹ × 5683¹ × 97¹ × 293¹
LCM(56830,56842) = 1615165430