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What is the Least Common Multiple of 54458 and 54463?

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 54458 and 54463 is 2965946054.

LCM(54458,54463) = 2965946054

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Least Common Multiple of 54458 and 54463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54458 and 54463, than apply into the LCM equation.

GCF(54458,54463) = 1
LCM(54458,54463) = ( 54458 × 54463) / 1
LCM(54458,54463) = 2965946054 / 1
LCM(54458,54463) = 2965946054

Least Common Multiple (LCM) of 54458 and 54463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54458 and 54463. First we will calculate the prime factors of 54458 and 54463.

Prime Factorization of 54458

Prime factors of 54458 are 2, 73, 373. Prime factorization of 54458 in exponential form is:

54458 = 21 × 731 × 3731

Prime Factorization of 54463

Prime factors of 54463 are 107, 509. Prime factorization of 54463 in exponential form is:

54463 = 1071 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 54458 and 54463.

LCM(54458,54463) = 21 × 731 × 3731 × 1071 × 5091
LCM(54458,54463) = 2965946054