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What is the Least Common Multiple of 4141 and 4154?

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 4141 and 4154 is 17201714.

LCM(4141,4154) = 17201714

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Least Common Multiple of 4141 and 4154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4141 and 4154, than apply into the LCM equation.

GCF(4141,4154) = 1
LCM(4141,4154) = ( 4141 × 4154) / 1
LCM(4141,4154) = 17201714 / 1
LCM(4141,4154) = 17201714

Least Common Multiple (LCM) of 4141 and 4154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4141 and 4154. First we will calculate the prime factors of 4141 and 4154.

Prime Factorization of 4141

Prime factors of 4141 are 41, 101. Prime factorization of 4141 in exponential form is:

4141 = 411 × 1011

Prime Factorization of 4154

Prime factors of 4154 are 2, 31, 67. Prime factorization of 4154 in exponential form is:

4154 = 21 × 311 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 4141 and 4154.

LCM(4141,4154) = 411 × 1011 × 21 × 311 × 671
LCM(4141,4154) = 17201714