What is the Least Common Multiple of 35945 and 35965?

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 35945 and 35965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35945 and 35965, than apply into the LCM equation.

GCF(35945,35965) = 5
LCM(35945,35965) = ( 35945 × 35965) / 5
LCM(35945,35965) = 1292761925 / 5
LCM(35945,35965) = 258552385

Least Common Multiple (LCM) of 35945 and 35965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35945 and 35965. First we will calculate the prime factors of 35945 and 35965.

Prime Factorization of 35945

Prime Factorization of 35965

Now multiplying the highest exponent prime factors to calculate the LCM of 35945 and 35965.

LCM(35945,35965) = 5¹ × 7¹ × 13¹ × 79¹ × 7193¹
LCM(35945,35965) = 258552385