What is the Least Common Multiple of 8614 and 8618?
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 8614 and 8618 is 37117726.
LCM(8614,8618) = 37117726
Least Common Multiple of 8614 and 8618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8614 and 8618, than apply into the LCM equation.
GCF(8614,8618) = 2
LCM(8614,8618) = ( 8614 × 8618) / 2
LCM(8614,8618) = 74235452 / 2
LCM(8614,8618) = 37117726
Least Common Multiple (LCM) of 8614 and 8618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8614 and 8618. First we will calculate the prime factors of 8614 and 8618.
Prime Factorization of 8614
Prime factors of 8614 are 2, 59, 73. Prime factorization of 8614 in exponential form is:
8614 = 21 × 591 × 731
Prime Factorization of 8618
Prime factors of 8618 are 2, 31, 139. Prime factorization of 8618 in exponential form is:
8618 = 21 × 311 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 8614 and 8618.
LCM(8614,8618) = 21 × 591 × 731 × 311 × 1391
LCM(8614,8618) = 37117726
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