What is the Least Common Multiple of 16370 and 16386?
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 16370 and 16386 is 134119410.
LCM(16370,16386) = 134119410
Least Common Multiple of 16370 and 16386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16370 and 16386, than apply into the LCM equation.
GCF(16370,16386) = 2
LCM(16370,16386) = ( 16370 × 16386) / 2
LCM(16370,16386) = 268238820 / 2
LCM(16370,16386) = 134119410
Least Common Multiple (LCM) of 16370 and 16386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16370 and 16386. First we will calculate the prime factors of 16370 and 16386.
Prime Factorization of 16370
Prime factors of 16370 are 2, 5, 1637. Prime factorization of 16370 in exponential form is:
16370 = 21 × 51 × 16371
Prime Factorization of 16386
Prime factors of 16386 are 2, 3, 2731. Prime factorization of 16386 in exponential form is:
16386 = 21 × 31 × 27311
Now multiplying the highest exponent prime factors to calculate the LCM of 16370 and 16386.
LCM(16370,16386) = 21 × 51 × 16371 × 31 × 27311
LCM(16370,16386) = 134119410
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