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What is the Least Common Multiple of 96337 and 96355?

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 96337 and 96355 is 9282551635.

LCM(96337,96355) = 9282551635

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Least Common Multiple of 96337 and 96355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96337 and 96355, than apply into the LCM equation.

GCF(96337,96355) = 1
LCM(96337,96355) = ( 96337 × 96355) / 1
LCM(96337,96355) = 9282551635 / 1
LCM(96337,96355) = 9282551635

Least Common Multiple (LCM) of 96337 and 96355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96337 and 96355. First we will calculate the prime factors of 96337 and 96355.

Prime Factorization of 96337

Prime factors of 96337 are 96337. Prime factorization of 96337 in exponential form is:

96337 = 963371

Prime Factorization of 96355

Prime factors of 96355 are 5, 7, 2753. Prime factorization of 96355 in exponential form is:

96355 = 51 × 71 × 27531

Now multiplying the highest exponent prime factors to calculate the LCM of 96337 and 96355.

LCM(96337,96355) = 963371 × 51 × 71 × 27531
LCM(96337,96355) = 9282551635