What is the Least Common Multiple of 5925 and 5945?

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 5925 and 5945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5925 and 5945, than apply into the LCM equation.

GCF(5925,5945) = 5
LCM(5925,5945) = ( 5925 × 5945) / 5
LCM(5925,5945) = 35224125 / 5
LCM(5925,5945) = 7044825

Least Common Multiple (LCM) of 5925 and 5945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5925 and 5945. First we will calculate the prime factors of 5925 and 5945.

Prime Factorization of 5925

Prime Factorization of 5945

Now multiplying the highest exponent prime factors to calculate the LCM of 5925 and 5945.

LCM(5925,5945) = 3¹ × 5² × 79¹ × 29¹ × 41¹
LCM(5925,5945) = 7044825