What is the Least Common Multiple of 27601 and 27613?
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 27601 and 27613 is 762146413.
LCM(27601,27613) = 762146413
Least Common Multiple of 27601 and 27613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27601 and 27613, than apply into the LCM equation.
GCF(27601,27613) = 1
LCM(27601,27613) = ( 27601 × 27613) / 1
LCM(27601,27613) = 762146413 / 1
LCM(27601,27613) = 762146413
Least Common Multiple (LCM) of 27601 and 27613 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27601 and 27613. First we will calculate the prime factors of 27601 and 27613.
Prime Factorization of 27601
Prime factors of 27601 are 7, 3943. Prime factorization of 27601 in exponential form is:
27601 = 71 × 39431
Prime Factorization of 27613
Prime factors of 27613 are 53, 521. Prime factorization of 27613 in exponential form is:
27613 = 531 × 5211
Now multiplying the highest exponent prime factors to calculate the LCM of 27601 and 27613.
LCM(27601,27613) = 71 × 39431 × 531 × 5211
LCM(27601,27613) = 762146413
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