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What is the Least Common Multiple of 60188 and 60197?

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 60188 and 60197 is 3623137036.

LCM(60188,60197) = 3623137036

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Least Common Multiple of 60188 and 60197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60188 and 60197, than apply into the LCM equation.

GCF(60188,60197) = 1
LCM(60188,60197) = ( 60188 × 60197) / 1
LCM(60188,60197) = 3623137036 / 1
LCM(60188,60197) = 3623137036

Least Common Multiple (LCM) of 60188 and 60197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60188 and 60197. First we will calculate the prime factors of 60188 and 60197.

Prime Factorization of 60188

Prime factors of 60188 are 2, 41, 367. Prime factorization of 60188 in exponential form is:

60188 = 22 × 411 × 3671

Prime Factorization of 60197

Prime factors of 60197 are 17, 3541. Prime factorization of 60197 in exponential form is:

60197 = 171 × 35411

Now multiplying the highest exponent prime factors to calculate the LCM of 60188 and 60197.

LCM(60188,60197) = 22 × 411 × 3671 × 171 × 35411
LCM(60188,60197) = 3623137036