What is the Least Common Multiple of 28402 and 28415?
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 28402 and 28415 is 807042830.
LCM(28402,28415) = 807042830
Least Common Multiple of 28402 and 28415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28402 and 28415, than apply into the LCM equation.
GCF(28402,28415) = 1
LCM(28402,28415) = ( 28402 × 28415) / 1
LCM(28402,28415) = 807042830 / 1
LCM(28402,28415) = 807042830
Least Common Multiple (LCM) of 28402 and 28415 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28402 and 28415. First we will calculate the prime factors of 28402 and 28415.
Prime Factorization of 28402
Prime factors of 28402 are 2, 11, 1291. Prime factorization of 28402 in exponential form is:
28402 = 21 × 111 × 12911
Prime Factorization of 28415
Prime factors of 28415 are 5, 5683. Prime factorization of 28415 in exponential form is:
28415 = 51 × 56831
Now multiplying the highest exponent prime factors to calculate the LCM of 28402 and 28415.
LCM(28402,28415) = 21 × 111 × 12911 × 51 × 56831
LCM(28402,28415) = 807042830
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