What is the Least Common Multiple of 37484 and 37501?
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 37484 and 37501 is 1405687484.
LCM(37484,37501) = 1405687484
Least Common Multiple of 37484 and 37501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37484 and 37501, than apply into the LCM equation.
GCF(37484,37501) = 1
LCM(37484,37501) = ( 37484 × 37501) / 1
LCM(37484,37501) = 1405687484 / 1
LCM(37484,37501) = 1405687484
Least Common Multiple (LCM) of 37484 and 37501 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37484 and 37501. First we will calculate the prime factors of 37484 and 37501.
Prime Factorization of 37484
Prime factors of 37484 are 2, 9371. Prime factorization of 37484 in exponential form is:
37484 = 22 × 93711
Prime Factorization of 37501
Prime factors of 37501 are 37501. Prime factorization of 37501 in exponential form is:
37501 = 375011
Now multiplying the highest exponent prime factors to calculate the LCM of 37484 and 37501.
LCM(37484,37501) = 22 × 93711 × 375011
LCM(37484,37501) = 1405687484
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