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What is the Least Common Multiple of 65900 and 65906?

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 65900 and 65906 is 2171602700.

LCM(65900,65906) = 2171602700

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Least Common Multiple of 65900 and 65906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65900 and 65906, than apply into the LCM equation.

GCF(65900,65906) = 2
LCM(65900,65906) = ( 65900 × 65906) / 2
LCM(65900,65906) = 4343205400 / 2
LCM(65900,65906) = 2171602700

Least Common Multiple (LCM) of 65900 and 65906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65900 and 65906. First we will calculate the prime factors of 65900 and 65906.

Prime Factorization of 65900

Prime factors of 65900 are 2, 5, 659. Prime factorization of 65900 in exponential form is:

65900 = 22 × 52 × 6591

Prime Factorization of 65906

Prime factors of 65906 are 2, 31, 1063. Prime factorization of 65906 in exponential form is:

65906 = 21 × 311 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 65900 and 65906.

LCM(65900,65906) = 22 × 52 × 6591 × 311 × 10631
LCM(65900,65906) = 2171602700