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What is the Least Common Multiple of 88761 and 88777?

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 88761 and 88777 is 7879935297.

LCM(88761,88777) = 7879935297

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Least Common Multiple of 88761 and 88777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88761 and 88777, than apply into the LCM equation.

GCF(88761,88777) = 1
LCM(88761,88777) = ( 88761 × 88777) / 1
LCM(88761,88777) = 7879935297 / 1
LCM(88761,88777) = 7879935297

Least Common Multiple (LCM) of 88761 and 88777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88761 and 88777. First we will calculate the prime factors of 88761 and 88777.

Prime Factorization of 88761

Prime factors of 88761 are 3, 29587. Prime factorization of 88761 in exponential form is:

88761 = 31 × 295871

Prime Factorization of 88777

Prime factors of 88777 are 13, 6829. Prime factorization of 88777 in exponential form is:

88777 = 131 × 68291

Now multiplying the highest exponent prime factors to calculate the LCM of 88761 and 88777.

LCM(88761,88777) = 31 × 295871 × 131 × 68291
LCM(88761,88777) = 7879935297