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What is the Least Common Multiple of 50222 and 50241?

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 50222 and 50241 is 2523203502.

LCM(50222,50241) = 2523203502

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Least Common Multiple of 50222 and 50241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50222 and 50241, than apply into the LCM equation.

GCF(50222,50241) = 1
LCM(50222,50241) = ( 50222 × 50241) / 1
LCM(50222,50241) = 2523203502 / 1
LCM(50222,50241) = 2523203502

Least Common Multiple (LCM) of 50222 and 50241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50222 and 50241. First we will calculate the prime factors of 50222 and 50241.

Prime Factorization of 50222

Prime factors of 50222 are 2, 25111. Prime factorization of 50222 in exponential form is:

50222 = 21 × 251111

Prime Factorization of 50241

Prime factors of 50241 are 3, 16747. Prime factorization of 50241 in exponential form is:

50241 = 31 × 167471

Now multiplying the highest exponent prime factors to calculate the LCM of 50222 and 50241.

LCM(50222,50241) = 21 × 251111 × 31 × 167471
LCM(50222,50241) = 2523203502