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What is the Least Common Multiple of 54486 and 54494?

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 54486 and 54494 is 1484580042.

LCM(54486,54494) = 1484580042

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Least Common Multiple of 54486 and 54494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54486 and 54494, than apply into the LCM equation.

GCF(54486,54494) = 2
LCM(54486,54494) = ( 54486 × 54494) / 2
LCM(54486,54494) = 2969160084 / 2
LCM(54486,54494) = 1484580042

Least Common Multiple (LCM) of 54486 and 54494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54486 and 54494. First we will calculate the prime factors of 54486 and 54494.

Prime Factorization of 54486

Prime factors of 54486 are 2, 3, 1009. Prime factorization of 54486 in exponential form is:

54486 = 21 × 33 × 10091

Prime Factorization of 54494

Prime factors of 54494 are 2, 11, 2477. Prime factorization of 54494 in exponential form is:

54494 = 21 × 111 × 24771

Now multiplying the highest exponent prime factors to calculate the LCM of 54486 and 54494.

LCM(54486,54494) = 21 × 33 × 10091 × 111 × 24771
LCM(54486,54494) = 1484580042