What is the Least Common Multiple of 35870 and 35884?

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 35884 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 35884, than apply into the LCM equation.

GCF(35870,35884) = 2
LCM(35870,35884) = ( 35870 × 35884) / 2
LCM(35870,35884) = 1287159080 / 2
LCM(35870,35884) = 643579540

Least Common Multiple (LCM) of 35870 and 35884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35870 and 35884. First we will calculate the prime factors of 35870 and 35884.

Prime Factorization of 35870

Prime Factorization of 35884

Now multiplying the highest exponent prime factors to calculate the LCM of 35870 and 35884.

LCM(35870,35884) = 2² × 5¹ × 17¹ × 211¹ × 8971¹
LCM(35870,35884) = 643579540