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What is the Least Common Multiple of 60197 and 60212?

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 60197 and 60212 is 3624581764.

LCM(60197,60212) = 3624581764

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Least Common Multiple of 60197 and 60212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60197 and 60212, than apply into the LCM equation.

GCF(60197,60212) = 1
LCM(60197,60212) = ( 60197 × 60212) / 1
LCM(60197,60212) = 3624581764 / 1
LCM(60197,60212) = 3624581764

Least Common Multiple (LCM) of 60197 and 60212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60197 and 60212. First we will calculate the prime factors of 60197 and 60212.

Prime Factorization of 60197

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

60197 = 171 × 35411

Prime Factorization of 60212

Prime factors of 60212 are 2, 15053. Prime factorization of 60212 in exponential form is:

60212 = 22 × 150531

Now multiplying the highest exponent prime factors to calculate the LCM of 60197 and 60212.

LCM(60197,60212) = 171 × 35411 × 22 × 150531
LCM(60197,60212) = 3624581764