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What is the Least Common Multiple of 67212 and 67222?

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 67212 and 67222 is 2259062532.

LCM(67212,67222) = 2259062532

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Least Common Multiple of 67212 and 67222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67212 and 67222, than apply into the LCM equation.

GCF(67212,67222) = 2
LCM(67212,67222) = ( 67212 × 67222) / 2
LCM(67212,67222) = 4518125064 / 2
LCM(67212,67222) = 2259062532

Least Common Multiple (LCM) of 67212 and 67222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67212 and 67222. First we will calculate the prime factors of 67212 and 67222.

Prime Factorization of 67212

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

67212 = 22 × 32 × 18671

Prime Factorization of 67222

Prime factors of 67222 are 2, 19, 29, 61. Prime factorization of 67222 in exponential form is:

67222 = 21 × 191 × 291 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 67212 and 67222.

LCM(67212,67222) = 22 × 32 × 18671 × 191 × 291 × 611
LCM(67212,67222) = 2259062532