What is the Least Common Multiple of 42838 and 42850?

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 42850 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 42850, than apply into the LCM equation.

GCF(42838,42850) = 2
LCM(42838,42850) = ( 42838 × 42850) / 2
LCM(42838,42850) = 1835608300 / 2
LCM(42838,42850) = 917804150

Least Common Multiple (LCM) of 42838 and 42850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42838 and 42850. First we will calculate the prime factors of 42838 and 42850.

Prime Factorization of 42838

Prime Factorization of 42850

Now multiplying the highest exponent prime factors to calculate the LCM of 42838 and 42850.

LCM(42838,42850) = 2¹ × 21419¹ × 5² × 857¹
LCM(42838,42850) = 917804150