What is the Least Common Multiple of 13285 and 13302?
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 13285 and 13302 is 176717070.
LCM(13285,13302) = 176717070
Least Common Multiple of 13285 and 13302 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13285 and 13302, than apply into the LCM equation.
GCF(13285,13302) = 1
LCM(13285,13302) = ( 13285 × 13302) / 1
LCM(13285,13302) = 176717070 / 1
LCM(13285,13302) = 176717070
Least Common Multiple (LCM) of 13285 and 13302 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13285 and 13302. First we will calculate the prime factors of 13285 and 13302.
Prime Factorization of 13285
Prime factors of 13285 are 5, 2657. Prime factorization of 13285 in exponential form is:
13285 = 51 × 26571
Prime Factorization of 13302
Prime factors of 13302 are 2, 3, 739. Prime factorization of 13302 in exponential form is:
13302 = 21 × 32 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 13285 and 13302.
LCM(13285,13302) = 51 × 26571 × 21 × 32 × 7391
LCM(13285,13302) = 176717070
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