What is the Least Common Multiple of 27377 and 27394?
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 27377 and 27394 is 749965538.
LCM(27377,27394) = 749965538
Least Common Multiple of 27377 and 27394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27377 and 27394, than apply into the LCM equation.
GCF(27377,27394) = 1
LCM(27377,27394) = ( 27377 × 27394) / 1
LCM(27377,27394) = 749965538 / 1
LCM(27377,27394) = 749965538
Least Common Multiple (LCM) of 27377 and 27394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27377 and 27394. First we will calculate the prime factors of 27377 and 27394.
Prime Factorization of 27377
Prime factors of 27377 are 7, 3911. Prime factorization of 27377 in exponential form is:
27377 = 71 × 39111
Prime Factorization of 27394
Prime factors of 27394 are 2, 13697. Prime factorization of 27394 in exponential form is:
27394 = 21 × 136971
Now multiplying the highest exponent prime factors to calculate the LCM of 27377 and 27394.
LCM(27377,27394) = 71 × 39111 × 21 × 136971
LCM(27377,27394) = 749965538
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