What is the Least Common Multiple of 36467 and 36482?
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 36467 and 36482 is 1330389094.
LCM(36467,36482) = 1330389094
Least Common Multiple of 36467 and 36482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36467 and 36482, than apply into the LCM equation.
GCF(36467,36482) = 1
LCM(36467,36482) = ( 36467 × 36482) / 1
LCM(36467,36482) = 1330389094 / 1
LCM(36467,36482) = 1330389094
Least Common Multiple (LCM) of 36467 and 36482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36467 and 36482. First we will calculate the prime factors of 36467 and 36482.
Prime Factorization of 36467
Prime factors of 36467 are 36467. Prime factorization of 36467 in exponential form is:
36467 = 364671
Prime Factorization of 36482
Prime factors of 36482 are 2, 17, 29, 37. Prime factorization of 36482 in exponential form is:
36482 = 21 × 171 × 291 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 36467 and 36482.
LCM(36467,36482) = 364671 × 21 × 171 × 291 × 371
LCM(36467,36482) = 1330389094
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