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What is the Least Common Multiple of 60403 and 60422?

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 60403 and 60422 is 3649670066.

LCM(60403,60422) = 3649670066

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Least Common Multiple of 60403 and 60422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60403 and 60422, than apply into the LCM equation.

GCF(60403,60422) = 1
LCM(60403,60422) = ( 60403 × 60422) / 1
LCM(60403,60422) = 3649670066 / 1
LCM(60403,60422) = 3649670066

Least Common Multiple (LCM) of 60403 and 60422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60403 and 60422. First we will calculate the prime factors of 60403 and 60422.

Prime Factorization of 60403

Prime factors of 60403 are 7, 8629. Prime factorization of 60403 in exponential form is:

60403 = 71 × 86291

Prime Factorization of 60422

Prime factors of 60422 are 2, 30211. Prime factorization of 60422 in exponential form is:

60422 = 21 × 302111

Now multiplying the highest exponent prime factors to calculate the LCM of 60403 and 60422.

LCM(60403,60422) = 71 × 86291 × 21 × 302111
LCM(60403,60422) = 3649670066