What is the Least Common Multiple of 35870 and 35883?

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 35870 and 35883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35870 and 35883, than apply into the LCM equation.

GCF(35870,35883) = 1
LCM(35870,35883) = ( 35870 × 35883) / 1
LCM(35870,35883) = 1287123210 / 1
LCM(35870,35883) = 1287123210

Least Common Multiple (LCM) of 35870 and 35883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35870 and 35883. First we will calculate the prime factors of 35870 and 35883.

Prime Factorization of 35870

Prime Factorization of 35883

Now multiplying the highest exponent prime factors to calculate the LCM of 35870 and 35883.

LCM(35870,35883) = 2¹ × 5¹ × 17¹ × 211¹ × 3⁴ × 443¹
LCM(35870,35883) = 1287123210