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What is the Least Common Multiple of 91977 and 91985?

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 91977 and 91985 is 8460504345.

LCM(91977,91985) = 8460504345

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Least Common Multiple of 91977 and 91985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91977 and 91985, than apply into the LCM equation.

GCF(91977,91985) = 1
LCM(91977,91985) = ( 91977 × 91985) / 1
LCM(91977,91985) = 8460504345 / 1
LCM(91977,91985) = 8460504345

Least Common Multiple (LCM) of 91977 and 91985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91977 and 91985. First we will calculate the prime factors of 91977 and 91985.

Prime Factorization of 91977

Prime factors of 91977 are 3, 23, 31, 43. Prime factorization of 91977 in exponential form is:

91977 = 31 × 231 × 311 × 431

Prime Factorization of 91985

Prime factors of 91985 are 5, 18397. Prime factorization of 91985 in exponential form is:

91985 = 51 × 183971

Now multiplying the highest exponent prime factors to calculate the LCM of 91977 and 91985.

LCM(91977,91985) = 31 × 231 × 311 × 431 × 51 × 183971
LCM(91977,91985) = 8460504345