What is the Least Common Multiple of 27409 and 27423?
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 27409 and 27423 is 751637007.
LCM(27409,27423) = 751637007
Least Common Multiple of 27409 and 27423 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27409 and 27423, than apply into the LCM equation.
GCF(27409,27423) = 1
LCM(27409,27423) = ( 27409 × 27423) / 1
LCM(27409,27423) = 751637007 / 1
LCM(27409,27423) = 751637007
Least Common Multiple (LCM) of 27409 and 27423 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27409 and 27423. First we will calculate the prime factors of 27409 and 27423.
Prime Factorization of 27409
Prime factors of 27409 are 27409. Prime factorization of 27409 in exponential form is:
27409 = 274091
Prime Factorization of 27423
Prime factors of 27423 are 3, 11, 277. Prime factorization of 27423 in exponential form is:
27423 = 32 × 111 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 27409 and 27423.
LCM(27409,27423) = 274091 × 32 × 111 × 2771
LCM(27409,27423) = 751637007
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