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What is the Least Common Multiple of 54446 and 54455?

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 54446 and 54455 is 2964856930.

LCM(54446,54455) = 2964856930

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Least Common Multiple of 54446 and 54455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54446 and 54455, than apply into the LCM equation.

GCF(54446,54455) = 1
LCM(54446,54455) = ( 54446 × 54455) / 1
LCM(54446,54455) = 2964856930 / 1
LCM(54446,54455) = 2964856930

Least Common Multiple (LCM) of 54446 and 54455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54446 and 54455. First we will calculate the prime factors of 54446 and 54455.

Prime Factorization of 54446

Prime factors of 54446 are 2, 7, 3889. Prime factorization of 54446 in exponential form is:

54446 = 21 × 71 × 38891

Prime Factorization of 54455

Prime factors of 54455 are 5, 10891. Prime factorization of 54455 in exponential form is:

54455 = 51 × 108911

Now multiplying the highest exponent prime factors to calculate the LCM of 54446 and 54455.

LCM(54446,54455) = 21 × 71 × 38891 × 51 × 108911
LCM(54446,54455) = 2964856930