What is the Least Common Multiple of 33544 and 33562?

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 33544 and 33562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33544 and 33562, than apply into the LCM equation.

GCF(33544,33562) = 2
LCM(33544,33562) = ( 33544 × 33562) / 2
LCM(33544,33562) = 1125803728 / 2
LCM(33544,33562) = 562901864

Least Common Multiple (LCM) of 33544 and 33562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33544 and 33562. First we will calculate the prime factors of 33544 and 33562.

Prime Factorization of 33544

Prime Factorization of 33562

Now multiplying the highest exponent prime factors to calculate the LCM of 33544 and 33562.

LCM(33544,33562) = 2³ × 7¹ × 599¹ × 97¹ × 173¹
LCM(33544,33562) = 562901864