What is the Least Common Multiple of 27457 and 27461?
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 27457 and 27461 is 753996677.
LCM(27457,27461) = 753996677
Least Common Multiple of 27457 and 27461 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27457 and 27461, than apply into the LCM equation.
GCF(27457,27461) = 1
LCM(27457,27461) = ( 27457 × 27461) / 1
LCM(27457,27461) = 753996677 / 1
LCM(27457,27461) = 753996677
Least Common Multiple (LCM) of 27457 and 27461 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27457 and 27461. First we will calculate the prime factors of 27457 and 27461.
Prime Factorization of 27457
Prime factors of 27457 are 27457. Prime factorization of 27457 in exponential form is:
27457 = 274571
Prime Factorization of 27461
Prime factors of 27461 are 7, 3923. Prime factorization of 27461 in exponential form is:
27461 = 71 × 39231
Now multiplying the highest exponent prime factors to calculate the LCM of 27457 and 27461.
LCM(27457,27461) = 274571 × 71 × 39231
LCM(27457,27461) = 753996677
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