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What is the Least Common Multiple of 91970 and 91977?

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 91970 and 91977 is 8459124690.

LCM(91970,91977) = 8459124690

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Least Common Multiple of 91970 and 91977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91970 and 91977, than apply into the LCM equation.

GCF(91970,91977) = 1
LCM(91970,91977) = ( 91970 × 91977) / 1
LCM(91970,91977) = 8459124690 / 1
LCM(91970,91977) = 8459124690

Least Common Multiple (LCM) of 91970 and 91977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91970 and 91977. First we will calculate the prime factors of 91970 and 91977.

Prime Factorization of 91970

Prime factors of 91970 are 2, 5, 17, 541. Prime factorization of 91970 in exponential form is:

91970 = 21 × 51 × 171 × 5411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 91970 and 91977.

LCM(91970,91977) = 21 × 51 × 171 × 5411 × 31 × 231 × 311 × 431
LCM(91970,91977) = 8459124690