What is the Least Common Multiple of 42838 and 42857?

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 42838 and 42857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42838 and 42857, than apply into the LCM equation.

GCF(42838,42857) = 1
LCM(42838,42857) = ( 42838 × 42857) / 1
LCM(42838,42857) = 1835908166 / 1
LCM(42838,42857) = 1835908166

Least Common Multiple (LCM) of 42838 and 42857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42838 and 42857. First we will calculate the prime factors of 42838 and 42857.

Prime Factorization of 42838

Prime Factorization of 42857

Now multiplying the highest exponent prime factors to calculate the LCM of 42838 and 42857.

LCM(42838,42857) = 2¹ × 21419¹ × 17¹ × 2521¹
LCM(42838,42857) = 1835908166