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What is the Least Common Multiple of 88759 and 88778?

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 88759 and 88778 is 7879846502.

LCM(88759,88778) = 7879846502

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Least Common Multiple of 88759 and 88778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88759 and 88778, than apply into the LCM equation.

GCF(88759,88778) = 1
LCM(88759,88778) = ( 88759 × 88778) / 1
LCM(88759,88778) = 7879846502 / 1
LCM(88759,88778) = 7879846502

Least Common Multiple (LCM) of 88759 and 88778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88759 and 88778. First we will calculate the prime factors of 88759 and 88778.

Prime Factorization of 88759

Prime factors of 88759 are 11, 8069. Prime factorization of 88759 in exponential form is:

88759 = 111 × 80691

Prime Factorization of 88778

Prime factors of 88778 are 2, 44389. Prime factorization of 88778 in exponential form is:

88778 = 21 × 443891

Now multiplying the highest exponent prime factors to calculate the LCM of 88759 and 88778.

LCM(88759,88778) = 111 × 80691 × 21 × 443891
LCM(88759,88778) = 7879846502