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What is the Least Common Multiple of 91962 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 91962 and 91977 is 2819462958.

LCM(91962,91977) = 2819462958

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Least Common Multiple of 91962 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 91962 and 91977, than apply into the LCM equation.

GCF(91962,91977) = 3
LCM(91962,91977) = ( 91962 × 91977) / 3
LCM(91962,91977) = 8458388874 / 3
LCM(91962,91977) = 2819462958

Least Common Multiple (LCM) of 91962 and 91977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91962 and 91977. First we will calculate the prime factors of 91962 and 91977.

Prime Factorization of 91962

Prime factors of 91962 are 2, 3, 13, 131. Prime factorization of 91962 in exponential form is:

91962 = 21 × 33 × 131 × 1311

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 91962 and 91977.

LCM(91962,91977) = 21 × 33 × 131 × 1311 × 231 × 311 × 431
LCM(91962,91977) = 2819462958