What is the Least Common Multiple of 36872 and 36890?

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 36872 and 36890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36872 and 36890, than apply into the LCM equation.

GCF(36872,36890) = 2
LCM(36872,36890) = ( 36872 × 36890) / 2
LCM(36872,36890) = 1360208080 / 2
LCM(36872,36890) = 680104040

Least Common Multiple (LCM) of 36872 and 36890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36872 and 36890. First we will calculate the prime factors of 36872 and 36890.

Prime Factorization of 36872

Prime Factorization of 36890

Now multiplying the highest exponent prime factors to calculate the LCM of 36872 and 36890.

LCM(36872,36890) = 2³ × 11¹ × 419¹ × 5¹ × 7¹ × 17¹ × 31¹
LCM(36872,36890) = 680104040