What is the Least Common Multiple of 25974 and 25983?

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 25974 and 25983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25974 and 25983, than apply into the LCM equation.

GCF(25974,25983) = 9
LCM(25974,25983) = ( 25974 × 25983) / 9
LCM(25974,25983) = 674882442 / 9
LCM(25974,25983) = 74986938

Least Common Multiple (LCM) of 25974 and 25983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25974 and 25983. First we will calculate the prime factors of 25974 and 25983.

Prime Factorization of 25974

Prime Factorization of 25983

Now multiplying the highest exponent prime factors to calculate the LCM of 25974 and 25983.

LCM(25974,25983) = 2¹ × 3³ × 13¹ × 37¹ × 2887¹
LCM(25974,25983) = 74986938