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What is the Least Common Multiple of 59486 and 59494?

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 59486 and 59494 is 1769530042.

LCM(59486,59494) = 1769530042

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Least Common Multiple of 59486 and 59494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59486 and 59494, than apply into the LCM equation.

GCF(59486,59494) = 2
LCM(59486,59494) = ( 59486 × 59494) / 2
LCM(59486,59494) = 3539060084 / 2
LCM(59486,59494) = 1769530042

Least Common Multiple (LCM) of 59486 and 59494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59486 and 59494. First we will calculate the prime factors of 59486 and 59494.

Prime Factorization of 59486

Prime factors of 59486 are 2, 7, 607. Prime factorization of 59486 in exponential form is:

59486 = 21 × 72 × 6071

Prime Factorization of 59494

Prime factors of 59494 are 2, 151, 197. Prime factorization of 59494 in exponential form is:

59494 = 21 × 1511 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 59486 and 59494.

LCM(59486,59494) = 21 × 72 × 6071 × 1511 × 1971
LCM(59486,59494) = 1769530042