What is the Least Common Multiple of 27467 and 27487?
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 27467 and 27487 is 754985429.
LCM(27467,27487) = 754985429
Least Common Multiple of 27467 and 27487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27467 and 27487, than apply into the LCM equation.
GCF(27467,27487) = 1
LCM(27467,27487) = ( 27467 × 27487) / 1
LCM(27467,27487) = 754985429 / 1
LCM(27467,27487) = 754985429
Least Common Multiple (LCM) of 27467 and 27487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27467 and 27487. First we will calculate the prime factors of 27467 and 27487.
Prime Factorization of 27467
Prime factors of 27467 are 11, 227. Prime factorization of 27467 in exponential form is:
27467 = 112 × 2271
Prime Factorization of 27487
Prime factors of 27487 are 27487. Prime factorization of 27487 in exponential form is:
27487 = 274871
Now multiplying the highest exponent prime factors to calculate the LCM of 27467 and 27487.
LCM(27467,27487) = 112 × 2271 × 274871
LCM(27467,27487) = 754985429
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