What is the Least Common Multiple of 36637 and 36650?
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 36637 and 36650 is 1342746050.
LCM(36637,36650) = 1342746050
Least Common Multiple of 36637 and 36650 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36637 and 36650, than apply into the LCM equation.
GCF(36637,36650) = 1
LCM(36637,36650) = ( 36637 × 36650) / 1
LCM(36637,36650) = 1342746050 / 1
LCM(36637,36650) = 1342746050
Least Common Multiple (LCM) of 36637 and 36650 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36637 and 36650. First we will calculate the prime factors of 36637 and 36650.
Prime Factorization of 36637
Prime factors of 36637 are 36637. Prime factorization of 36637 in exponential form is:
36637 = 366371
Prime Factorization of 36650
Prime factors of 36650 are 2, 5, 733. Prime factorization of 36650 in exponential form is:
36650 = 21 × 52 × 7331
Now multiplying the highest exponent prime factors to calculate the LCM of 36637 and 36650.
LCM(36637,36650) = 366371 × 21 × 52 × 7331
LCM(36637,36650) = 1342746050
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