What is the Least Common Multiple of 4875 and 4890?

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 4875 and 4890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4875 and 4890, than apply into the LCM equation.

GCF(4875,4890) = 15
LCM(4875,4890) = ( 4875 × 4890) / 15
LCM(4875,4890) = 23838750 / 15
LCM(4875,4890) = 1589250

Least Common Multiple (LCM) of 4875 and 4890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4875 and 4890. First we will calculate the prime factors of 4875 and 4890.

Prime Factorization of 4875

Prime Factorization of 4890

Now multiplying the highest exponent prime factors to calculate the LCM of 4875 and 4890.

LCM(4875,4890) = 3¹ × 5³ × 13¹ × 2¹ × 163¹
LCM(4875,4890) = 1589250