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What is the Least Common Multiple of 49235 and 49246?

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 49235 and 49246 is 2424626810.

LCM(49235,49246) = 2424626810

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Least Common Multiple of 49235 and 49246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49235 and 49246, than apply into the LCM equation.

GCF(49235,49246) = 1
LCM(49235,49246) = ( 49235 × 49246) / 1
LCM(49235,49246) = 2424626810 / 1
LCM(49235,49246) = 2424626810

Least Common Multiple (LCM) of 49235 and 49246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49235 and 49246. First we will calculate the prime factors of 49235 and 49246.

Prime Factorization of 49235

Prime factors of 49235 are 5, 43, 229. Prime factorization of 49235 in exponential form is:

49235 = 51 × 431 × 2291

Prime Factorization of 49246

Prime factors of 49246 are 2, 24623. Prime factorization of 49246 in exponential form is:

49246 = 21 × 246231

Now multiplying the highest exponent prime factors to calculate the LCM of 49235 and 49246.

LCM(49235,49246) = 51 × 431 × 2291 × 21 × 246231
LCM(49235,49246) = 2424626810