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What is the Least Common Multiple of 62197 and 62212?

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 62197 and 62212 is 3869399764.

LCM(62197,62212) = 3869399764

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Least Common Multiple of 62197 and 62212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62197 and 62212, than apply into the LCM equation.

GCF(62197,62212) = 1
LCM(62197,62212) = ( 62197 × 62212) / 1
LCM(62197,62212) = 3869399764 / 1
LCM(62197,62212) = 3869399764

Least Common Multiple (LCM) of 62197 and 62212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62197 and 62212. First we will calculate the prime factors of 62197 and 62212.

Prime Factorization of 62197

Prime factors of 62197 are 37, 41. Prime factorization of 62197 in exponential form is:

62197 = 371 × 412

Prime Factorization of 62212

Prime factors of 62212 are 2, 103, 151. Prime factorization of 62212 in exponential form is:

62212 = 22 × 1031 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 62197 and 62212.

LCM(62197,62212) = 371 × 412 × 22 × 1031 × 1511
LCM(62197,62212) = 3869399764