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What is the Least Common Multiple of 89122 and 89127?

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 89122 and 89127 is 7943176494.

LCM(89122,89127) = 7943176494

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Least Common Multiple of 89122 and 89127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89122 and 89127, than apply into the LCM equation.

GCF(89122,89127) = 1
LCM(89122,89127) = ( 89122 × 89127) / 1
LCM(89122,89127) = 7943176494 / 1
LCM(89122,89127) = 7943176494

Least Common Multiple (LCM) of 89122 and 89127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89122 and 89127. First we will calculate the prime factors of 89122 and 89127.

Prime Factorization of 89122

Prime factors of 89122 are 2, 11, 4051. Prime factorization of 89122 in exponential form is:

89122 = 21 × 111 × 40511

Prime Factorization of 89127

Prime factors of 89127 are 3, 3301. Prime factorization of 89127 in exponential form is:

89127 = 33 × 33011

Now multiplying the highest exponent prime factors to calculate the LCM of 89122 and 89127.

LCM(89122,89127) = 21 × 111 × 40511 × 33 × 33011
LCM(89122,89127) = 7943176494