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What is the Least Common Multiple of 60590 and 60602?

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 60590 and 60602 is 1835937590.

LCM(60590,60602) = 1835937590

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Least Common Multiple of 60590 and 60602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60590 and 60602, than apply into the LCM equation.

GCF(60590,60602) = 2
LCM(60590,60602) = ( 60590 × 60602) / 2
LCM(60590,60602) = 3671875180 / 2
LCM(60590,60602) = 1835937590

Least Common Multiple (LCM) of 60590 and 60602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60590 and 60602. First we will calculate the prime factors of 60590 and 60602.

Prime Factorization of 60590

Prime factors of 60590 are 2, 5, 73, 83. Prime factorization of 60590 in exponential form is:

60590 = 21 × 51 × 731 × 831

Prime Factorization of 60602

Prime factors of 60602 are 2, 157, 193. Prime factorization of 60602 in exponential form is:

60602 = 21 × 1571 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 60590 and 60602.

LCM(60590,60602) = 21 × 51 × 731 × 831 × 1571 × 1931
LCM(60590,60602) = 1835937590