What is the Least Common Multiple of 32870 and 32890?

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 32870 and 32890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32870 and 32890, than apply into the LCM equation.

GCF(32870,32890) = 10
LCM(32870,32890) = ( 32870 × 32890) / 10
LCM(32870,32890) = 1081094300 / 10
LCM(32870,32890) = 108109430

Least Common Multiple (LCM) of 32870 and 32890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32870 and 32890. First we will calculate the prime factors of 32870 and 32890.

Prime Factorization of 32870

Prime Factorization of 32890

Now multiplying the highest exponent prime factors to calculate the LCM of 32870 and 32890.

LCM(32870,32890) = 2¹ × 5¹ × 19¹ × 173¹ × 11¹ × 13¹ × 23¹
LCM(32870,32890) = 108109430