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What is the Least Common Multiple of 61486 and 61494?

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 61486 and 61494 is 1890510042.

LCM(61486,61494) = 1890510042

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Least Common Multiple of 61486 and 61494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61486 and 61494, than apply into the LCM equation.

GCF(61486,61494) = 2
LCM(61486,61494) = ( 61486 × 61494) / 2
LCM(61486,61494) = 3781020084 / 2
LCM(61486,61494) = 1890510042

Least Common Multiple (LCM) of 61486 and 61494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61486 and 61494. First we will calculate the prime factors of 61486 and 61494.

Prime Factorization of 61486

Prime factors of 61486 are 2, 71, 433. Prime factorization of 61486 in exponential form is:

61486 = 21 × 711 × 4331

Prime Factorization of 61494

Prime factors of 61494 are 2, 3, 37, 277. Prime factorization of 61494 in exponential form is:

61494 = 21 × 31 × 371 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 61486 and 61494.

LCM(61486,61494) = 21 × 711 × 4331 × 31 × 371 × 2771
LCM(61486,61494) = 1890510042