What is the Least Common Multiple of 402 and 408?
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 402 and 408 is 27336.
LCM(402,408) = 27336
Least Common Multiple of 402 and 408 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 402 and 408, than apply into the LCM equation.
GCF(402,408) = 6
LCM(402,408) = ( 402 × 408) / 6
LCM(402,408) = 164016 / 6
LCM(402,408) = 27336
Least Common Multiple (LCM) of 402 and 408 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 402 and 408. First we will calculate the prime factors of 402 and 408.
Prime Factorization of 402
Prime factors of 402 are 2, 3, 67. Prime factorization of 402 in exponential form is:
402 = 21 × 31 × 671
Prime Factorization of 408
Prime factors of 408 are 2, 3, 17. Prime factorization of 408 in exponential form is:
408 = 23 × 31 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 402 and 408.
LCM(402,408) = 23 × 31 × 671 × 171
LCM(402,408) = 27336
Related Least Common Multiples of 402
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Related Least Common Multiples of 408
- LCM of 408 and 412
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