What is the Least Common Multiple of 33540 and 33549?

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 33540 and 33549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33540 and 33549, than apply into the LCM equation.

GCF(33540,33549) = 3
LCM(33540,33549) = ( 33540 × 33549) / 3
LCM(33540,33549) = 1125233460 / 3
LCM(33540,33549) = 375077820

Least Common Multiple (LCM) of 33540 and 33549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33540 and 33549. First we will calculate the prime factors of 33540 and 33549.

Prime Factorization of 33540

Prime Factorization of 33549

Now multiplying the highest exponent prime factors to calculate the LCM of 33540 and 33549.

LCM(33540,33549) = 2² × 3¹ × 5¹ × 13¹ × 43¹ × 53¹ × 211¹
LCM(33540,33549) = 375077820