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What is the Least Common Multiple of 65073 and 65087?

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 65073 and 65087 is 4235406351.

LCM(65073,65087) = 4235406351

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Least Common Multiple of 65073 and 65087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65073 and 65087, than apply into the LCM equation.

GCF(65073,65087) = 1
LCM(65073,65087) = ( 65073 × 65087) / 1
LCM(65073,65087) = 4235406351 / 1
LCM(65073,65087) = 4235406351

Least Common Multiple (LCM) of 65073 and 65087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65073 and 65087. First we will calculate the prime factors of 65073 and 65087.

Prime Factorization of 65073

Prime factors of 65073 are 3, 109, 199. Prime factorization of 65073 in exponential form is:

65073 = 31 × 1091 × 1991

Prime Factorization of 65087

Prime factors of 65087 are 11, 61, 97. Prime factorization of 65087 in exponential form is:

65087 = 111 × 611 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 65073 and 65087.

LCM(65073,65087) = 31 × 1091 × 1991 × 111 × 611 × 971
LCM(65073,65087) = 4235406351