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What is the Least Common Multiple of 16145 and 16151?

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 16145 and 16151 is 260757895.

LCM(16145,16151) = 260757895

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Least Common Multiple of 16145 and 16151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16145 and 16151, than apply into the LCM equation.

GCF(16145,16151) = 1
LCM(16145,16151) = ( 16145 × 16151) / 1
LCM(16145,16151) = 260757895 / 1
LCM(16145,16151) = 260757895

Least Common Multiple (LCM) of 16145 and 16151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16145 and 16151. First we will calculate the prime factors of 16145 and 16151.

Prime Factorization of 16145

Prime factors of 16145 are 5, 3229. Prime factorization of 16145 in exponential form is:

16145 = 51 × 32291

Prime Factorization of 16151

Prime factors of 16151 are 31, 521. Prime factorization of 16151 in exponential form is:

16151 = 311 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 16145 and 16151.

LCM(16145,16151) = 51 × 32291 × 311 × 5211
LCM(16145,16151) = 260757895