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What is the Least Common Multiple of 49601 and 49613?

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 49601 and 49613 is 2460854413.

LCM(49601,49613) = 2460854413

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Least Common Multiple of 49601 and 49613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49601 and 49613, than apply into the LCM equation.

GCF(49601,49613) = 1
LCM(49601,49613) = ( 49601 × 49613) / 1
LCM(49601,49613) = 2460854413 / 1
LCM(49601,49613) = 2460854413

Least Common Multiple (LCM) of 49601 and 49613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49601 and 49613. First we will calculate the prime factors of 49601 and 49613.

Prime Factorization of 49601

Prime factors of 49601 are 193, 257. Prime factorization of 49601 in exponential form is:

49601 = 1931 × 2571

Prime Factorization of 49613

Prime factors of 49613 are 49613. Prime factorization of 49613 in exponential form is:

49613 = 496131

Now multiplying the highest exponent prime factors to calculate the LCM of 49601 and 49613.

LCM(49601,49613) = 1931 × 2571 × 496131
LCM(49601,49613) = 2460854413