What is the Least Common Multiple of 16901 and 16907?
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 16901 and 16907 is 285745207.
LCM(16901,16907) = 285745207
Least Common Multiple of 16901 and 16907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16901 and 16907, than apply into the LCM equation.
GCF(16901,16907) = 1
LCM(16901,16907) = ( 16901 × 16907) / 1
LCM(16901,16907) = 285745207 / 1
LCM(16901,16907) = 285745207
Least Common Multiple (LCM) of 16901 and 16907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16901 and 16907. First we will calculate the prime factors of 16901 and 16907.
Prime Factorization of 16901
Prime factors of 16901 are 16901. Prime factorization of 16901 in exponential form is:
16901 = 169011
Prime Factorization of 16907
Prime factors of 16907 are 11, 29, 53. Prime factorization of 16907 in exponential form is:
16907 = 111 × 291 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 16901 and 16907.
LCM(16901,16907) = 169011 × 111 × 291 × 531
LCM(16901,16907) = 285745207
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