What is the Least Common Multiple of 5905 and 5925?

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 5905 and 5925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5905 and 5925, than apply into the LCM equation.

GCF(5905,5925) = 5
LCM(5905,5925) = ( 5905 × 5925) / 5
LCM(5905,5925) = 34987125 / 5
LCM(5905,5925) = 6997425

Least Common Multiple (LCM) of 5905 and 5925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5905 and 5925. First we will calculate the prime factors of 5905 and 5925.

Prime Factorization of 5905

Prime Factorization of 5925

Now multiplying the highest exponent prime factors to calculate the LCM of 5905 and 5925.

LCM(5905,5925) = 5² × 1181¹ × 3¹ × 79¹
LCM(5905,5925) = 6997425