What is the Least Common Multiple of 27127 and 27147?
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 27127 and 27147 is 736416669.
LCM(27127,27147) = 736416669
Least Common Multiple of 27127 and 27147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27127 and 27147, than apply into the LCM equation.
GCF(27127,27147) = 1
LCM(27127,27147) = ( 27127 × 27147) / 1
LCM(27127,27147) = 736416669 / 1
LCM(27127,27147) = 736416669
Least Common Multiple (LCM) of 27127 and 27147 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27127 and 27147. First we will calculate the prime factors of 27127 and 27147.
Prime Factorization of 27127
Prime factors of 27127 are 27127. Prime factorization of 27127 in exponential form is:
27127 = 271271
Prime Factorization of 27147
Prime factors of 27147 are 3, 9049. Prime factorization of 27147 in exponential form is:
27147 = 31 × 90491
Now multiplying the highest exponent prime factors to calculate the LCM of 27127 and 27147.
LCM(27127,27147) = 271271 × 31 × 90491
LCM(27127,27147) = 736416669
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