What is the Least Common Multiple of 53040 and 53049?

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 53040 and 53049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53040 and 53049, than apply into the LCM equation.

GCF(53040,53049) = 3
LCM(53040,53049) = ( 53040 × 53049) / 3
LCM(53040,53049) = 2813718960 / 3
LCM(53040,53049) = 937906320

Least Common Multiple (LCM) of 53040 and 53049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53040 and 53049. First we will calculate the prime factors of 53040 and 53049.

Prime Factorization of 53040

Prime Factorization of 53049

Now multiplying the highest exponent prime factors to calculate the LCM of 53040 and 53049.

LCM(53040,53049) = 2⁴ × 3¹ × 5¹ × 13¹ × 17¹ × 17683¹
LCM(53040,53049) = 937906320