What is the Least Common Multiple of 18404 and 18420?
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 18404 and 18420 is 84750420.
LCM(18404,18420) = 84750420
Least Common Multiple of 18404 and 18420 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18404 and 18420, than apply into the LCM equation.
GCF(18404,18420) = 4
LCM(18404,18420) = ( 18404 × 18420) / 4
LCM(18404,18420) = 339001680 / 4
LCM(18404,18420) = 84750420
Least Common Multiple (LCM) of 18404 and 18420 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18404 and 18420. First we will calculate the prime factors of 18404 and 18420.
Prime Factorization of 18404
Prime factors of 18404 are 2, 43, 107. Prime factorization of 18404 in exponential form is:
18404 = 22 × 431 × 1071
Prime Factorization of 18420
Prime factors of 18420 are 2, 3, 5, 307. Prime factorization of 18420 in exponential form is:
18420 = 22 × 31 × 51 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 18404 and 18420.
LCM(18404,18420) = 22 × 431 × 1071 × 31 × 51 × 3071
LCM(18404,18420) = 84750420
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