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What is the Least Common Multiple of 5455 and 5460?

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 5455 and 5460 is 5956860.

LCM(5455,5460) = 5956860

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Least Common Multiple of 5455 and 5460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5455 and 5460, than apply into the LCM equation.

GCF(5455,5460) = 5
LCM(5455,5460) = ( 5455 × 5460) / 5
LCM(5455,5460) = 29784300 / 5
LCM(5455,5460) = 5956860

Least Common Multiple (LCM) of 5455 and 5460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5455 and 5460. First we will calculate the prime factors of 5455 and 5460.

Prime Factorization of 5455

Prime factors of 5455 are 5, 1091. Prime factorization of 5455 in exponential form is:

5455 = 51 × 10911

Prime Factorization of 5460

Prime factors of 5460 are 2, 3, 5, 7, 13. Prime factorization of 5460 in exponential form is:

5460 = 22 × 31 × 51 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 5455 and 5460.

LCM(5455,5460) = 51 × 10911 × 22 × 31 × 71 × 131
LCM(5455,5460) = 5956860