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What is the Least Common Multiple of 65878 and 65890?

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 65878 and 65890 is 2170350710.

LCM(65878,65890) = 2170350710

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Least Common Multiple of 65878 and 65890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65878 and 65890, than apply into the LCM equation.

GCF(65878,65890) = 2
LCM(65878,65890) = ( 65878 × 65890) / 2
LCM(65878,65890) = 4340701420 / 2
LCM(65878,65890) = 2170350710

Least Common Multiple (LCM) of 65878 and 65890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65878 and 65890. First we will calculate the prime factors of 65878 and 65890.

Prime Factorization of 65878

Prime factors of 65878 are 2, 32939. Prime factorization of 65878 in exponential form is:

65878 = 21 × 329391

Prime Factorization of 65890

Prime factors of 65890 are 2, 5, 11, 599. Prime factorization of 65890 in exponential form is:

65890 = 21 × 51 × 111 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 65878 and 65890.

LCM(65878,65890) = 21 × 329391 × 51 × 111 × 5991
LCM(65878,65890) = 2170350710