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What is the Least Common Multiple of 41212 and 41230?

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 41212 and 41230 is 849585380.

LCM(41212,41230) = 849585380

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Least Common Multiple of 41212 and 41230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41212 and 41230, than apply into the LCM equation.

GCF(41212,41230) = 2
LCM(41212,41230) = ( 41212 × 41230) / 2
LCM(41212,41230) = 1699170760 / 2
LCM(41212,41230) = 849585380

Least Common Multiple (LCM) of 41212 and 41230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41212 and 41230. First we will calculate the prime factors of 41212 and 41230.

Prime Factorization of 41212

Prime factors of 41212 are 2, 10303. Prime factorization of 41212 in exponential form is:

41212 = 22 × 103031

Prime Factorization of 41230

Prime factors of 41230 are 2, 5, 7, 19, 31. Prime factorization of 41230 in exponential form is:

41230 = 21 × 51 × 71 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 41212 and 41230.

LCM(41212,41230) = 22 × 103031 × 51 × 71 × 191 × 311
LCM(41212,41230) = 849585380