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What is the Least Common Multiple of 91977 and 91990?

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 91990 is 8460964230.

LCM(91977,91990) = 8460964230

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Least Common Multiple of 91977 and 91990 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 91990, than apply into the LCM equation.

GCF(91977,91990) = 1
LCM(91977,91990) = ( 91977 × 91990) / 1
LCM(91977,91990) = 8460964230 / 1
LCM(91977,91990) = 8460964230

Least Common Multiple (LCM) of 91977 and 91990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91977 and 91990. First we will calculate the prime factors of 91977 and 91990.

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 91990

Prime factors of 91990 are 2, 5, 9199. Prime factorization of 91990 in exponential form is:

91990 = 21 × 51 × 91991

Now multiplying the highest exponent prime factors to calculate the LCM of 91977 and 91990.

LCM(91977,91990) = 31 × 231 × 311 × 431 × 21 × 51 × 91991
LCM(91977,91990) = 8460964230