What is the Least Common Multiple of 18684 and 18703?
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 18684 and 18703 is 349446852.
LCM(18684,18703) = 349446852
Least Common Multiple of 18684 and 18703 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18684 and 18703, than apply into the LCM equation.
GCF(18684,18703) = 1
LCM(18684,18703) = ( 18684 × 18703) / 1
LCM(18684,18703) = 349446852 / 1
LCM(18684,18703) = 349446852
Least Common Multiple (LCM) of 18684 and 18703 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18684 and 18703. First we will calculate the prime factors of 18684 and 18703.
Prime Factorization of 18684
Prime factors of 18684 are 2, 3, 173. Prime factorization of 18684 in exponential form is:
18684 = 22 × 33 × 1731
Prime Factorization of 18703
Prime factors of 18703 are 59, 317. Prime factorization of 18703 in exponential form is:
18703 = 591 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 18684 and 18703.
LCM(18684,18703) = 22 × 33 × 1731 × 591 × 3171
LCM(18684,18703) = 349446852
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