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What is the Least Common Multiple of 91878 and 91890?

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 91878 and 91890 is 1407111570.

LCM(91878,91890) = 1407111570

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Least Common Multiple of 91878 and 91890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91878 and 91890, than apply into the LCM equation.

GCF(91878,91890) = 6
LCM(91878,91890) = ( 91878 × 91890) / 6
LCM(91878,91890) = 8442669420 / 6
LCM(91878,91890) = 1407111570

Least Common Multiple (LCM) of 91878 and 91890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91878 and 91890. First we will calculate the prime factors of 91878 and 91890.

Prime Factorization of 91878

Prime factors of 91878 are 2, 3, 15313. Prime factorization of 91878 in exponential form is:

91878 = 21 × 31 × 153131

Prime Factorization of 91890

Prime factors of 91890 are 2, 3, 5, 1021. Prime factorization of 91890 in exponential form is:

91890 = 21 × 32 × 51 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 91878 and 91890.

LCM(91878,91890) = 21 × 32 × 153131 × 51 × 10211
LCM(91878,91890) = 1407111570