What is the Least Common Multiple of 18402 and 18408?
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 18402 and 18408 is 56457336.
LCM(18402,18408) = 56457336
Least Common Multiple of 18402 and 18408 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18402 and 18408, than apply into the LCM equation.
GCF(18402,18408) = 6
LCM(18402,18408) = ( 18402 × 18408) / 6
LCM(18402,18408) = 338744016 / 6
LCM(18402,18408) = 56457336
Least Common Multiple (LCM) of 18402 and 18408 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18402 and 18408. First we will calculate the prime factors of 18402 and 18408.
Prime Factorization of 18402
Prime factors of 18402 are 2, 3, 3067. Prime factorization of 18402 in exponential form is:
18402 = 21 × 31 × 30671
Prime Factorization of 18408
Prime factors of 18408 are 2, 3, 13, 59. Prime factorization of 18408 in exponential form is:
18408 = 23 × 31 × 131 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 18402 and 18408.
LCM(18402,18408) = 23 × 31 × 30671 × 131 × 591
LCM(18402,18408) = 56457336
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