What is the Least Common Multiple of 28930 and 28937?
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 28930 and 28937 is 837147410.
LCM(28930,28937) = 837147410
Least Common Multiple of 28930 and 28937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28930 and 28937, than apply into the LCM equation.
GCF(28930,28937) = 1
LCM(28930,28937) = ( 28930 × 28937) / 1
LCM(28930,28937) = 837147410 / 1
LCM(28930,28937) = 837147410
Least Common Multiple (LCM) of 28930 and 28937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28930 and 28937. First we will calculate the prime factors of 28930 and 28937.
Prime Factorization of 28930
Prime factors of 28930 are 2, 5, 11, 263. Prime factorization of 28930 in exponential form is:
28930 = 21 × 51 × 111 × 2631
Prime Factorization of 28937
Prime factors of 28937 are 19, 1523. Prime factorization of 28937 in exponential form is:
28937 = 191 × 15231
Now multiplying the highest exponent prime factors to calculate the LCM of 28930 and 28937.
LCM(28930,28937) = 21 × 51 × 111 × 2631 × 191 × 15231
LCM(28930,28937) = 837147410
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