What is the Least Common Multiple of 28374 and 28388?
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 28374 and 28388 is 402740556.
LCM(28374,28388) = 402740556
Least Common Multiple of 28374 and 28388 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28374 and 28388, than apply into the LCM equation.
GCF(28374,28388) = 2
LCM(28374,28388) = ( 28374 × 28388) / 2
LCM(28374,28388) = 805481112 / 2
LCM(28374,28388) = 402740556
Least Common Multiple (LCM) of 28374 and 28388 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28374 and 28388. First we will calculate the prime factors of 28374 and 28388.
Prime Factorization of 28374
Prime factors of 28374 are 2, 3, 4729. Prime factorization of 28374 in exponential form is:
28374 = 21 × 31 × 47291
Prime Factorization of 28388
Prime factors of 28388 are 2, 47, 151. Prime factorization of 28388 in exponential form is:
28388 = 22 × 471 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 28374 and 28388.
LCM(28374,28388) = 22 × 31 × 47291 × 471 × 1511
LCM(28374,28388) = 402740556
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