What is the Least Common Multiple of 18362 and 18378?
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 18362 and 18378 is 168728418.
LCM(18362,18378) = 168728418
Least Common Multiple of 18362 and 18378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18362 and 18378, than apply into the LCM equation.
GCF(18362,18378) = 2
LCM(18362,18378) = ( 18362 × 18378) / 2
LCM(18362,18378) = 337456836 / 2
LCM(18362,18378) = 168728418
Least Common Multiple (LCM) of 18362 and 18378 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18362 and 18378. First we will calculate the prime factors of 18362 and 18378.
Prime Factorization of 18362
Prime factors of 18362 are 2, 9181. Prime factorization of 18362 in exponential form is:
18362 = 21 × 91811
Prime Factorization of 18378
Prime factors of 18378 are 2, 3, 1021. Prime factorization of 18378 in exponential form is:
18378 = 21 × 32 × 10211
Now multiplying the highest exponent prime factors to calculate the LCM of 18362 and 18378.
LCM(18362,18378) = 21 × 91811 × 32 × 10211
LCM(18362,18378) = 168728418
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