What is the Least Common Multiple of 35940 and 35949?

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 35940 and 35949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35940 and 35949, than apply into the LCM equation.

GCF(35940,35949) = 3
LCM(35940,35949) = ( 35940 × 35949) / 3
LCM(35940,35949) = 1292007060 / 3
LCM(35940,35949) = 430669020

Least Common Multiple (LCM) of 35940 and 35949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35940 and 35949. First we will calculate the prime factors of 35940 and 35949.

Prime Factorization of 35940

Prime Factorization of 35949

Now multiplying the highest exponent prime factors to calculate the LCM of 35940 and 35949.

LCM(35940,35949) = 2² × 3¹ × 5¹ × 599¹ × 23¹ × 521¹
LCM(35940,35949) = 430669020