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What is the Least Common Multiple of 60187 and 60194?

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 60187 and 60194 is 3622896278.

LCM(60187,60194) = 3622896278

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Least Common Multiple of 60187 and 60194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60187 and 60194, than apply into the LCM equation.

GCF(60187,60194) = 1
LCM(60187,60194) = ( 60187 × 60194) / 1
LCM(60187,60194) = 3622896278 / 1
LCM(60187,60194) = 3622896278

Least Common Multiple (LCM) of 60187 and 60194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60187 and 60194. First we will calculate the prime factors of 60187 and 60194.

Prime Factorization of 60187

Prime factors of 60187 are 139, 433. Prime factorization of 60187 in exponential form is:

60187 = 1391 × 4331

Prime Factorization of 60194

Prime factors of 60194 are 2, 30097. Prime factorization of 60194 in exponential form is:

60194 = 21 × 300971

Now multiplying the highest exponent prime factors to calculate the LCM of 60187 and 60194.

LCM(60187,60194) = 1391 × 4331 × 21 × 300971
LCM(60187,60194) = 3622896278