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What is the Least Common Multiple of 88122 and 88127?

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 88122 and 88127 is 7765927494.

LCM(88122,88127) = 7765927494

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Least Common Multiple of 88122 and 88127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88122 and 88127, than apply into the LCM equation.

GCF(88122,88127) = 1
LCM(88122,88127) = ( 88122 × 88127) / 1
LCM(88122,88127) = 7765927494 / 1
LCM(88122,88127) = 7765927494

Least Common Multiple (LCM) of 88122 and 88127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88122 and 88127. First we will calculate the prime factors of 88122 and 88127.

Prime Factorization of 88122

Prime factors of 88122 are 2, 3, 19, 773. Prime factorization of 88122 in exponential form is:

88122 = 21 × 31 × 191 × 7731

Prime Factorization of 88127

Prime factors of 88127 are 13, 6779. Prime factorization of 88127 in exponential form is:

88127 = 131 × 67791

Now multiplying the highest exponent prime factors to calculate the LCM of 88122 and 88127.

LCM(88122,88127) = 21 × 31 × 191 × 7731 × 131 × 67791
LCM(88122,88127) = 7765927494