GCF and LCM Calculator Logo

What is the Least Common Multiple of 33532 and 33544?

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 (LCM) of 33532 and 33544 is 281199352.

LCM(33532,33544) = 281199352

LCM Calculator and
and

Least Common Multiple of 33532 and 33544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33532 and 33544, than apply into the LCM equation.

GCF(33532,33544) = 4
LCM(33532,33544) = ( 33532 × 33544) / 4
LCM(33532,33544) = 1124797408 / 4
LCM(33532,33544) = 281199352

Least Common Multiple (LCM) of 33532 and 33544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33532 and 33544. First we will calculate the prime factors of 33532 and 33544.

Prime Factorization of 33532

Prime factors of 33532 are 2, 83, 101. Prime factorization of 33532 in exponential form is:

33532 = 22 × 831 × 1011

Prime Factorization of 33544

Prime factors of 33544 are 2, 7, 599. Prime factorization of 33544 in exponential form is:

33544 = 23 × 71 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 33532 and 33544.

LCM(33532,33544) = 23 × 831 × 1011 × 71 × 5991
LCM(33532,33544) = 281199352