What is the Least Common Multiple of 37679 and 37691?
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 37679 and 37691 is 1420159189.
LCM(37679,37691) = 1420159189
Least Common Multiple of 37679 and 37691 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37679 and 37691, than apply into the LCM equation.
GCF(37679,37691) = 1
LCM(37679,37691) = ( 37679 × 37691) / 1
LCM(37679,37691) = 1420159189 / 1
LCM(37679,37691) = 1420159189
Least Common Multiple (LCM) of 37679 and 37691 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37679 and 37691. First we will calculate the prime factors of 37679 and 37691.
Prime Factorization of 37679
Prime factors of 37679 are 41, 919. Prime factorization of 37679 in exponential form is:
37679 = 411 × 9191
Prime Factorization of 37691
Prime factors of 37691 are 37691. Prime factorization of 37691 in exponential form is:
37691 = 376911
Now multiplying the highest exponent prime factors to calculate the LCM of 37679 and 37691.
LCM(37679,37691) = 411 × 9191 × 376911
LCM(37679,37691) = 1420159189
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