What is the Least Common Multiple of 37533 and 37553?
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 37533 and 37553 is 1409476749.
LCM(37533,37553) = 1409476749
Least Common Multiple of 37533 and 37553 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37533 and 37553, than apply into the LCM equation.
GCF(37533,37553) = 1
LCM(37533,37553) = ( 37533 × 37553) / 1
LCM(37533,37553) = 1409476749 / 1
LCM(37533,37553) = 1409476749
Least Common Multiple (LCM) of 37533 and 37553 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37533 and 37553. First we will calculate the prime factors of 37533 and 37553.
Prime Factorization of 37533
Prime factors of 37533 are 3, 12511. Prime factorization of 37533 in exponential form is:
37533 = 31 × 125111
Prime Factorization of 37553
Prime factors of 37553 are 17, 47. Prime factorization of 37553 in exponential form is:
37553 = 171 × 472
Now multiplying the highest exponent prime factors to calculate the LCM of 37533 and 37553.
LCM(37533,37553) = 31 × 125111 × 171 × 472
LCM(37533,37553) = 1409476749
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