What is the Least Common Multiple of 29893 and 29902?
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 29893 and 29902 is 893860486.
LCM(29893,29902) = 893860486
Least Common Multiple of 29893 and 29902 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29893 and 29902, than apply into the LCM equation.
GCF(29893,29902) = 1
LCM(29893,29902) = ( 29893 × 29902) / 1
LCM(29893,29902) = 893860486 / 1
LCM(29893,29902) = 893860486
Least Common Multiple (LCM) of 29893 and 29902 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29893 and 29902. First we will calculate the prime factors of 29893 and 29902.
Prime Factorization of 29893
Prime factors of 29893 are 167, 179. Prime factorization of 29893 in exponential form is:
29893 = 1671 × 1791
Prime Factorization of 29902
Prime factors of 29902 are 2, 14951. Prime factorization of 29902 in exponential form is:
29902 = 21 × 149511
Now multiplying the highest exponent prime factors to calculate the LCM of 29893 and 29902.
LCM(29893,29902) = 1671 × 1791 × 21 × 149511
LCM(29893,29902) = 893860486
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