What is the Least Common Multiple of 27674 and 27682?
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 27674 and 27682 is 383035834.
LCM(27674,27682) = 383035834
Least Common Multiple of 27674 and 27682 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27674 and 27682, than apply into the LCM equation.
GCF(27674,27682) = 2
LCM(27674,27682) = ( 27674 × 27682) / 2
LCM(27674,27682) = 766071668 / 2
LCM(27674,27682) = 383035834
Least Common Multiple (LCM) of 27674 and 27682 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27674 and 27682. First we will calculate the prime factors of 27674 and 27682.
Prime Factorization of 27674
Prime factors of 27674 are 2, 101, 137. Prime factorization of 27674 in exponential form is:
27674 = 21 × 1011 × 1371
Prime Factorization of 27682
Prime factors of 27682 are 2, 13841. Prime factorization of 27682 in exponential form is:
27682 = 21 × 138411
Now multiplying the highest exponent prime factors to calculate the LCM of 27674 and 27682.
LCM(27674,27682) = 21 × 1011 × 1371 × 138411
LCM(27674,27682) = 383035834
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