What is the Least Common Multiple of 12617 and 12627?
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 12617 and 12627 is 159314859.
LCM(12617,12627) = 159314859
Least Common Multiple of 12617 and 12627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12617 and 12627, than apply into the LCM equation.
GCF(12617,12627) = 1
LCM(12617,12627) = ( 12617 × 12627) / 1
LCM(12617,12627) = 159314859 / 1
LCM(12617,12627) = 159314859
Least Common Multiple (LCM) of 12617 and 12627 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12617 and 12627. First we will calculate the prime factors of 12617 and 12627.
Prime Factorization of 12617
Prime factors of 12617 are 11, 31, 37. Prime factorization of 12617 in exponential form is:
12617 = 111 × 311 × 371
Prime Factorization of 12627
Prime factors of 12627 are 3, 23, 61. Prime factorization of 12627 in exponential form is:
12627 = 32 × 231 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 12617 and 12627.
LCM(12617,12627) = 111 × 311 × 371 × 32 × 231 × 611
LCM(12617,12627) = 159314859
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