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What is the Least Common Multiple of 5461 and 5468?

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 5461 and 5468 is 29860748.

LCM(5461,5468) = 29860748

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Least Common Multiple of 5461 and 5468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5461 and 5468, than apply into the LCM equation.

GCF(5461,5468) = 1
LCM(5461,5468) = ( 5461 × 5468) / 1
LCM(5461,5468) = 29860748 / 1
LCM(5461,5468) = 29860748

Least Common Multiple (LCM) of 5461 and 5468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5461 and 5468. First we will calculate the prime factors of 5461 and 5468.

Prime Factorization of 5461

Prime factors of 5461 are 43, 127. Prime factorization of 5461 in exponential form is:

5461 = 431 × 1271

Prime Factorization of 5468

Prime factors of 5468 are 2, 1367. Prime factorization of 5468 in exponential form is:

5468 = 22 × 13671

Now multiplying the highest exponent prime factors to calculate the LCM of 5461 and 5468.

LCM(5461,5468) = 431 × 1271 × 22 × 13671
LCM(5461,5468) = 29860748