What is the Least Common Multiple of 23874 and 23890?

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 23874 and 23890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23874 and 23890, than apply into the LCM equation.

GCF(23874,23890) = 2
LCM(23874,23890) = ( 23874 × 23890) / 2
LCM(23874,23890) = 570349860 / 2
LCM(23874,23890) = 285174930

Least Common Multiple (LCM) of 23874 and 23890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23874 and 23890. First we will calculate the prime factors of 23874 and 23890.

Prime Factorization of 23874

Prime Factorization of 23890

Now multiplying the highest exponent prime factors to calculate the LCM of 23874 and 23890.

LCM(23874,23890) = 2¹ × 3¹ × 23¹ × 173¹ × 5¹ × 2389¹
LCM(23874,23890) = 285174930