What is the Least Common Multiple of 25974 and 25984?

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 25984 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 25984, than apply into the LCM equation.

GCF(25974,25984) = 2
LCM(25974,25984) = ( 25974 × 25984) / 2
LCM(25974,25984) = 674908416 / 2
LCM(25974,25984) = 337454208

Least Common Multiple (LCM) of 25974 and 25984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25974 and 25984. First we will calculate the prime factors of 25974 and 25984.

Prime Factorization of 25974

Prime Factorization of 25984

Now multiplying the highest exponent prime factors to calculate the LCM of 25974 and 25984.

LCM(25974,25984) = 2⁷ × 3³ × 13¹ × 37¹ × 7¹ × 29¹
LCM(25974,25984) = 337454208