What is the Least Common Multiple of 5945 and 5955?

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 5945 and 5955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5945 and 5955, than apply into the LCM equation.

GCF(5945,5955) = 5
LCM(5945,5955) = ( 5945 × 5955) / 5
LCM(5945,5955) = 35402475 / 5
LCM(5945,5955) = 7080495

Least Common Multiple (LCM) of 5945 and 5955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5945 and 5955. First we will calculate the prime factors of 5945 and 5955.

Prime Factorization of 5945

Prime Factorization of 5955

Now multiplying the highest exponent prime factors to calculate the LCM of 5945 and 5955.

LCM(5945,5955) = 5¹ × 29¹ × 41¹ × 3¹ × 397¹
LCM(5945,5955) = 7080495