What is the Least Common Multiple of 71890 and 71896?

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 71890 and 71896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71890 and 71896, than apply into the LCM equation.

GCF(71890,71896) = 2
LCM(71890,71896) = ( 71890 × 71896) / 2
LCM(71890,71896) = 5168603440 / 2
LCM(71890,71896) = 2584301720

Least Common Multiple (LCM) of 71890 and 71896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71890 and 71896. First we will calculate the prime factors of 71890 and 71896.

Prime Factorization of 71890

Prime Factorization of 71896

Now multiplying the highest exponent prime factors to calculate the LCM of 71890 and 71896.

LCM(71890,71896) = 2³ × 5¹ × 7¹ × 13¹ × 79¹ × 11¹ × 19¹ × 43¹
LCM(71890,71896) = 2584301720