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What is the Least Common Multiple of 91388 and 91398?

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 91388 and 91398 is 4176340212.

LCM(91388,91398) = 4176340212

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Least Common Multiple of 91388 and 91398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91388 and 91398, than apply into the LCM equation.

GCF(91388,91398) = 2
LCM(91388,91398) = ( 91388 × 91398) / 2
LCM(91388,91398) = 8352680424 / 2
LCM(91388,91398) = 4176340212

Least Common Multiple (LCM) of 91388 and 91398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91388 and 91398. First we will calculate the prime factors of 91388 and 91398.

Prime Factorization of 91388

Prime factors of 91388 are 2, 11, 31, 67. Prime factorization of 91388 in exponential form is:

91388 = 22 × 111 × 311 × 671

Prime Factorization of 91398

Prime factors of 91398 are 2, 3, 15233. Prime factorization of 91398 in exponential form is:

91398 = 21 × 31 × 152331

Now multiplying the highest exponent prime factors to calculate the LCM of 91388 and 91398.

LCM(91388,91398) = 22 × 111 × 311 × 671 × 31 × 152331
LCM(91388,91398) = 4176340212