What is the Least Common Multiple of 25965 and 25972?

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 25965 and 25972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25965 and 25972, than apply into the LCM equation.

GCF(25965,25972) = 1
LCM(25965,25972) = ( 25965 × 25972) / 1
LCM(25965,25972) = 674362980 / 1
LCM(25965,25972) = 674362980

Least Common Multiple (LCM) of 25965 and 25972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25965 and 25972. First we will calculate the prime factors of 25965 and 25972.

Prime Factorization of 25965

Prime Factorization of 25972

Now multiplying the highest exponent prime factors to calculate the LCM of 25965 and 25972.

LCM(25965,25972) = 3² × 5¹ × 577¹ × 2² × 43¹ × 151¹
LCM(25965,25972) = 674362980