What is the Least Common Multiple of 33520 and 33540?

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 33520 and 33540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33520 and 33540, than apply into the LCM equation.

GCF(33520,33540) = 20
LCM(33520,33540) = ( 33520 × 33540) / 20
LCM(33520,33540) = 1124260800 / 20
LCM(33520,33540) = 56213040

Least Common Multiple (LCM) of 33520 and 33540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33520 and 33540. First we will calculate the prime factors of 33520 and 33540.

Prime Factorization of 33520

Prime Factorization of 33540

Now multiplying the highest exponent prime factors to calculate the LCM of 33520 and 33540.

LCM(33520,33540) = 2⁴ × 5¹ × 419¹ × 3¹ × 13¹ × 43¹
LCM(33520,33540) = 56213040