What is the Least Common Multiple of 57540 and 57549?

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 57540 and 57549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57540 and 57549, than apply into the LCM equation.

GCF(57540,57549) = 3
LCM(57540,57549) = ( 57540 × 57549) / 3
LCM(57540,57549) = 3311369460 / 3
LCM(57540,57549) = 1103789820

Least Common Multiple (LCM) of 57540 and 57549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57540 and 57549. First we will calculate the prime factors of 57540 and 57549.

Prime Factorization of 57540

Prime Factorization of 57549

Now multiplying the highest exponent prime factors to calculate the LCM of 57540 and 57549.

LCM(57540,57549) = 2² × 3¹ × 5¹ × 7¹ × 137¹ × 19183¹
LCM(57540,57549) = 1103789820