What is the Least Common Multiple of 14210 and 14216?
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 14210 and 14216 is 101004680.
LCM(14210,14216) = 101004680
Least Common Multiple of 14210 and 14216 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14210 and 14216, than apply into the LCM equation.
GCF(14210,14216) = 2
LCM(14210,14216) = ( 14210 × 14216) / 2
LCM(14210,14216) = 202009360 / 2
LCM(14210,14216) = 101004680
Least Common Multiple (LCM) of 14210 and 14216 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14210 and 14216. First we will calculate the prime factors of 14210 and 14216.
Prime Factorization of 14210
Prime factors of 14210 are 2, 5, 7, 29. Prime factorization of 14210 in exponential form is:
14210 = 21 × 51 × 72 × 291
Prime Factorization of 14216
Prime factors of 14216 are 2, 1777. Prime factorization of 14216 in exponential form is:
14216 = 23 × 17771
Now multiplying the highest exponent prime factors to calculate the LCM of 14210 and 14216.
LCM(14210,14216) = 23 × 51 × 72 × 291 × 17771
LCM(14210,14216) = 101004680
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