What is the Least Common Multiple of 71875 and 71890?

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 71875 and 71890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71875 and 71890, than apply into the LCM equation.

GCF(71875,71890) = 5
LCM(71875,71890) = ( 71875 × 71890) / 5
LCM(71875,71890) = 5167093750 / 5
LCM(71875,71890) = 1033418750

Least Common Multiple (LCM) of 71875 and 71890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71875 and 71890. First we will calculate the prime factors of 71875 and 71890.

Prime Factorization of 71875

Prime Factorization of 71890

Now multiplying the highest exponent prime factors to calculate the LCM of 71875 and 71890.

LCM(71875,71890) = 5⁵ × 23¹ × 2¹ × 7¹ × 13¹ × 79¹
LCM(71875,71890) = 1033418750