What is the Least Common Multiple of 71870 and 71874?

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 71870 and 71874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71870 and 71874, than apply into the LCM equation.

GCF(71870,71874) = 2
LCM(71870,71874) = ( 71870 × 71874) / 2
LCM(71870,71874) = 5165584380 / 2
LCM(71870,71874) = 2582792190

Least Common Multiple (LCM) of 71870 and 71874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71870 and 71874. First we will calculate the prime factors of 71870 and 71874.

Prime Factorization of 71870

Prime Factorization of 71874

Now multiplying the highest exponent prime factors to calculate the LCM of 71870 and 71874.

LCM(71870,71874) = 2¹ × 5¹ × 7187¹ × 3³ × 11³
LCM(71870,71874) = 2582792190