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What is the Least Common Multiple of 99949 and 99969?

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 99949 and 99969 is 9991801581.

LCM(99949,99969) = 9991801581

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Least Common Multiple of 99949 and 99969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99949 and 99969, than apply into the LCM equation.

GCF(99949,99969) = 1
LCM(99949,99969) = ( 99949 × 99969) / 1
LCM(99949,99969) = 9991801581 / 1
LCM(99949,99969) = 9991801581

Least Common Multiple (LCM) of 99949 and 99969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99949 and 99969. First we will calculate the prime factors of 99949 and 99969.

Prime Factorization of 99949

Prime factors of 99949 are 127, 787. Prime factorization of 99949 in exponential form is:

99949 = 1271 × 7871

Prime Factorization of 99969

Prime factors of 99969 are 3, 47, 709. Prime factorization of 99969 in exponential form is:

99969 = 31 × 471 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 99949 and 99969.

LCM(99949,99969) = 1271 × 7871 × 31 × 471 × 7091
LCM(99949,99969) = 9991801581