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What is the Least Common Multiple of 91669 and 91679?

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 91669 and 91679 is 8404122251.

LCM(91669,91679) = 8404122251

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Least Common Multiple of 91669 and 91679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91669 and 91679, than apply into the LCM equation.

GCF(91669,91679) = 1
LCM(91669,91679) = ( 91669 × 91679) / 1
LCM(91669,91679) = 8404122251 / 1
LCM(91669,91679) = 8404122251

Least Common Multiple (LCM) of 91669 and 91679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91669 and 91679. First we will calculate the prime factors of 91669 and 91679.

Prime Factorization of 91669

Prime factors of 91669 are 29, 109. Prime factorization of 91669 in exponential form is:

91669 = 292 × 1091

Prime Factorization of 91679

Prime factors of 91679 are 7, 1871. Prime factorization of 91679 in exponential form is:

91679 = 72 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 91669 and 91679.

LCM(91669,91679) = 292 × 1091 × 72 × 18711
LCM(91669,91679) = 8404122251