What is the Least Common Multiple of 35940 and 35945?

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 35945 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 35945, than apply into the LCM equation.

GCF(35940,35945) = 5
LCM(35940,35945) = ( 35940 × 35945) / 5
LCM(35940,35945) = 1291863300 / 5
LCM(35940,35945) = 258372660

Least Common Multiple (LCM) of 35940 and 35945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35940 and 35945. First we will calculate the prime factors of 35940 and 35945.

Prime Factorization of 35940

Prime Factorization of 35945

Now multiplying the highest exponent prime factors to calculate the LCM of 35940 and 35945.

LCM(35940,35945) = 2² × 3¹ × 5¹ × 599¹ × 7¹ × 13¹ × 79¹
LCM(35940,35945) = 258372660