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What is the Least Common Multiple of 90769 and 90773?

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 90769 and 90773 is 8239374437.

LCM(90769,90773) = 8239374437

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Least Common Multiple of 90769 and 90773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90769 and 90773, than apply into the LCM equation.

GCF(90769,90773) = 1
LCM(90769,90773) = ( 90769 × 90773) / 1
LCM(90769,90773) = 8239374437 / 1
LCM(90769,90773) = 8239374437

Least Common Multiple (LCM) of 90769 and 90773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90769 and 90773. First we will calculate the prime factors of 90769 and 90773.

Prime Factorization of 90769

Prime factors of 90769 are 7, 12967. Prime factorization of 90769 in exponential form is:

90769 = 71 × 129671

Prime Factorization of 90773

Prime factors of 90773 are 43, 2111. Prime factorization of 90773 in exponential form is:

90773 = 431 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 90769 and 90773.

LCM(90769,90773) = 71 × 129671 × 431 × 21111
LCM(90769,90773) = 8239374437