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What is the Least Common Multiple of 16870 and 16885?

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 16870 and 16885 is 56969990.

LCM(16870,16885) = 56969990

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Least Common Multiple of 16870 and 16885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16870 and 16885, than apply into the LCM equation.

GCF(16870,16885) = 5
LCM(16870,16885) = ( 16870 × 16885) / 5
LCM(16870,16885) = 284849950 / 5
LCM(16870,16885) = 56969990

Least Common Multiple (LCM) of 16870 and 16885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16870 and 16885. First we will calculate the prime factors of 16870 and 16885.

Prime Factorization of 16870

Prime factors of 16870 are 2, 5, 7, 241. Prime factorization of 16870 in exponential form is:

16870 = 21 × 51 × 71 × 2411

Prime Factorization of 16885

Prime factors of 16885 are 5, 11, 307. Prime factorization of 16885 in exponential form is:

16885 = 51 × 111 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 16870 and 16885.

LCM(16870,16885) = 21 × 51 × 71 × 2411 × 111 × 3071
LCM(16870,16885) = 56969990