What is the Least Common Multiple of 42890 and 42894?

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 42890 and 42894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42890 and 42894, than apply into the LCM equation.

GCF(42890,42894) = 2
LCM(42890,42894) = ( 42890 × 42894) / 2
LCM(42890,42894) = 1839723660 / 2
LCM(42890,42894) = 919861830

Least Common Multiple (LCM) of 42890 and 42894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42890 and 42894. First we will calculate the prime factors of 42890 and 42894.

Prime Factorization of 42890

Prime Factorization of 42894

Now multiplying the highest exponent prime factors to calculate the LCM of 42890 and 42894.

LCM(42890,42894) = 2¹ × 5¹ × 4289¹ × 3² × 2383¹
LCM(42890,42894) = 919861830