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What is the Least Common Multiple of 36452 and 36467?

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 36452 and 36467 is 1329295084.

LCM(36452,36467) = 1329295084

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Least Common Multiple of 36452 and 36467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36452 and 36467, than apply into the LCM equation.

GCF(36452,36467) = 1
LCM(36452,36467) = ( 36452 × 36467) / 1
LCM(36452,36467) = 1329295084 / 1
LCM(36452,36467) = 1329295084

Least Common Multiple (LCM) of 36452 and 36467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36452 and 36467. First we will calculate the prime factors of 36452 and 36467.

Prime Factorization of 36452

Prime factors of 36452 are 2, 13, 701. Prime factorization of 36452 in exponential form is:

36452 = 22 × 131 × 7011

Prime Factorization of 36467

Prime factors of 36467 are 36467. Prime factorization of 36467 in exponential form is:

36467 = 364671

Now multiplying the highest exponent prime factors to calculate the LCM of 36452 and 36467.

LCM(36452,36467) = 22 × 131 × 7011 × 364671
LCM(36452,36467) = 1329295084