What is the Least Common Multiple of 16402 and 16408?
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 16402 and 16408 is 134562008.
LCM(16402,16408) = 134562008
Least Common Multiple of 16402 and 16408 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16402 and 16408, than apply into the LCM equation.
GCF(16402,16408) = 2
LCM(16402,16408) = ( 16402 × 16408) / 2
LCM(16402,16408) = 269124016 / 2
LCM(16402,16408) = 134562008
Least Common Multiple (LCM) of 16402 and 16408 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16402 and 16408. First we will calculate the prime factors of 16402 and 16408.
Prime Factorization of 16402
Prime factors of 16402 are 2, 59, 139. Prime factorization of 16402 in exponential form is:
16402 = 21 × 591 × 1391
Prime Factorization of 16408
Prime factors of 16408 are 2, 7, 293. Prime factorization of 16408 in exponential form is:
16408 = 23 × 71 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 16402 and 16408.
LCM(16402,16408) = 23 × 591 × 1391 × 71 × 2931
LCM(16402,16408) = 134562008
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