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What is the Least Common Multiple of 16118 and 16135?

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 16118 and 16135 is 260063930.

LCM(16118,16135) = 260063930

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Least Common Multiple of 16118 and 16135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16118 and 16135, than apply into the LCM equation.

GCF(16118,16135) = 1
LCM(16118,16135) = ( 16118 × 16135) / 1
LCM(16118,16135) = 260063930 / 1
LCM(16118,16135) = 260063930

Least Common Multiple (LCM) of 16118 and 16135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16118 and 16135. First we will calculate the prime factors of 16118 and 16135.

Prime Factorization of 16118

Prime factors of 16118 are 2, 8059. Prime factorization of 16118 in exponential form is:

16118 = 21 × 80591

Prime Factorization of 16135

Prime factors of 16135 are 5, 7, 461. Prime factorization of 16135 in exponential form is:

16135 = 51 × 71 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 16118 and 16135.

LCM(16118,16135) = 21 × 80591 × 51 × 71 × 4611
LCM(16118,16135) = 260063930