What is the Least Common Multiple of 37487 and 37495?
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 37487 and 37495 is 1405575065.
LCM(37487,37495) = 1405575065
Least Common Multiple of 37487 and 37495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37487 and 37495, than apply into the LCM equation.
GCF(37487,37495) = 1
LCM(37487,37495) = ( 37487 × 37495) / 1
LCM(37487,37495) = 1405575065 / 1
LCM(37487,37495) = 1405575065
Least Common Multiple (LCM) of 37487 and 37495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37487 and 37495. First we will calculate the prime factors of 37487 and 37495.
Prime Factorization of 37487
Prime factors of 37487 are 19, 1973. Prime factorization of 37487 in exponential form is:
37487 = 191 × 19731
Prime Factorization of 37495
Prime factors of 37495 are 5, 7499. Prime factorization of 37495 in exponential form is:
37495 = 51 × 74991
Now multiplying the highest exponent prime factors to calculate the LCM of 37487 and 37495.
LCM(37487,37495) = 191 × 19731 × 51 × 74991
LCM(37487,37495) = 1405575065
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