What is the Least Common Multiple of 36040 and 36046?

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 36040 and 36046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36040 and 36046, than apply into the LCM equation.

GCF(36040,36046) = 2
LCM(36040,36046) = ( 36040 × 36046) / 2
LCM(36040,36046) = 1299097840 / 2
LCM(36040,36046) = 649548920

Least Common Multiple (LCM) of 36040 and 36046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36040 and 36046. First we will calculate the prime factors of 36040 and 36046.

Prime Factorization of 36040

Prime Factorization of 36046

Now multiplying the highest exponent prime factors to calculate the LCM of 36040 and 36046.

LCM(36040,36046) = 2³ × 5¹ × 17¹ × 53¹ × 67¹ × 269¹
LCM(36040,36046) = 649548920