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What is the Least Common Multiple of 49477 and 49497?

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 49477 and 49497 is 2448963069.

LCM(49477,49497) = 2448963069

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Least Common Multiple of 49477 and 49497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49477 and 49497, than apply into the LCM equation.

GCF(49477,49497) = 1
LCM(49477,49497) = ( 49477 × 49497) / 1
LCM(49477,49497) = 2448963069 / 1
LCM(49477,49497) = 2448963069

Least Common Multiple (LCM) of 49477 and 49497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49477 and 49497. First we will calculate the prime factors of 49477 and 49497.

Prime Factorization of 49477

Prime factors of 49477 are 49477. Prime factorization of 49477 in exponential form is:

49477 = 494771

Prime Factorization of 49497

Prime factors of 49497 are 3, 7, 2357. Prime factorization of 49497 in exponential form is:

49497 = 31 × 71 × 23571

Now multiplying the highest exponent prime factors to calculate the LCM of 49477 and 49497.

LCM(49477,49497) = 494771 × 31 × 71 × 23571
LCM(49477,49497) = 2448963069