What is the Least Common Multiple of 27437 and 27441?
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 27437 and 27441 is 752898717.
LCM(27437,27441) = 752898717
Least Common Multiple of 27437 and 27441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27437 and 27441, than apply into the LCM equation.
GCF(27437,27441) = 1
LCM(27437,27441) = ( 27437 × 27441) / 1
LCM(27437,27441) = 752898717 / 1
LCM(27437,27441) = 752898717
Least Common Multiple (LCM) of 27437 and 27441 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27437 and 27441. First we will calculate the prime factors of 27437 and 27441.
Prime Factorization of 27437
Prime factors of 27437 are 27437. Prime factorization of 27437 in exponential form is:
27437 = 274371
Prime Factorization of 27441
Prime factors of 27441 are 3, 3049. Prime factorization of 27441 in exponential form is:
27441 = 32 × 30491
Now multiplying the highest exponent prime factors to calculate the LCM of 27437 and 27441.
LCM(27437,27441) = 274371 × 32 × 30491
LCM(27437,27441) = 752898717
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