What is the Least Common Multiple of 24114 and 24131?

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 24114 and 24131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24114 and 24131, than apply into the LCM equation.

GCF(24114,24131) = 1
LCM(24114,24131) = ( 24114 × 24131) / 1
LCM(24114,24131) = 581894934 / 1
LCM(24114,24131) = 581894934

Least Common Multiple (LCM) of 24114 and 24131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24114 and 24131. First we will calculate the prime factors of 24114 and 24131.

Prime Factorization of 24114

Prime Factorization of 24131

Now multiplying the highest exponent prime factors to calculate the LCM of 24114 and 24131.

LCM(24114,24131) = 2¹ × 3¹ × 4019¹ × 59¹ × 409¹
LCM(24114,24131) = 581894934