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What is the Least Common Multiple of 54453 and 54461?

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 54453 and 54461 is 2965564833.

LCM(54453,54461) = 2965564833

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Least Common Multiple of 54453 and 54461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54453 and 54461, than apply into the LCM equation.

GCF(54453,54461) = 1
LCM(54453,54461) = ( 54453 × 54461) / 1
LCM(54453,54461) = 2965564833 / 1
LCM(54453,54461) = 2965564833

Least Common Multiple (LCM) of 54453 and 54461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54453 and 54461. First we will calculate the prime factors of 54453 and 54461.

Prime Factorization of 54453

Prime factors of 54453 are 3, 7, 2593. Prime factorization of 54453 in exponential form is:

54453 = 31 × 71 × 25931

Prime Factorization of 54461

Prime factors of 54461 are 11, 4951. Prime factorization of 54461 in exponential form is:

54461 = 111 × 49511

Now multiplying the highest exponent prime factors to calculate the LCM of 54453 and 54461.

LCM(54453,54461) = 31 × 71 × 25931 × 111 × 49511
LCM(54453,54461) = 2965564833