What is the Least Common Multiple of 72875 and 72890?

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 72875 and 72890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72875 and 72890, than apply into the LCM equation.

GCF(72875,72890) = 5
LCM(72875,72890) = ( 72875 × 72890) / 5
LCM(72875,72890) = 5311858750 / 5
LCM(72875,72890) = 1062371750

Least Common Multiple (LCM) of 72875 and 72890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72875 and 72890. First we will calculate the prime factors of 72875 and 72890.

Prime Factorization of 72875

Prime Factorization of 72890

Now multiplying the highest exponent prime factors to calculate the LCM of 72875 and 72890.

LCM(72875,72890) = 5³ × 11¹ × 53¹ × 2¹ × 37¹ × 197¹
LCM(72875,72890) = 1062371750