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What is the Least Common Multiple of 67196 and 67212?

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 67196 and 67212 is 1129094388.

LCM(67196,67212) = 1129094388

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Least Common Multiple of 67196 and 67212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67196 and 67212, than apply into the LCM equation.

GCF(67196,67212) = 4
LCM(67196,67212) = ( 67196 × 67212) / 4
LCM(67196,67212) = 4516377552 / 4
LCM(67196,67212) = 1129094388

Least Common Multiple (LCM) of 67196 and 67212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67196 and 67212. First we will calculate the prime factors of 67196 and 67212.

Prime Factorization of 67196

Prime factors of 67196 are 2, 107, 157. Prime factorization of 67196 in exponential form is:

67196 = 22 × 1071 × 1571

Prime Factorization of 67212

Prime factors of 67212 are 2, 3, 1867. Prime factorization of 67212 in exponential form is:

67212 = 22 × 32 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 67196 and 67212.

LCM(67196,67212) = 22 × 1071 × 1571 × 32 × 18671
LCM(67196,67212) = 1129094388