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What is the Least Common Multiple of 91408 and 91428?

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 91408 and 91428 is 2089312656.

LCM(91408,91428) = 2089312656

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Least Common Multiple of 91408 and 91428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91408 and 91428, than apply into the LCM equation.

GCF(91408,91428) = 4
LCM(91408,91428) = ( 91408 × 91428) / 4
LCM(91408,91428) = 8357250624 / 4
LCM(91408,91428) = 2089312656

Least Common Multiple (LCM) of 91408 and 91428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91408 and 91428. First we will calculate the prime factors of 91408 and 91428.

Prime Factorization of 91408

Prime factors of 91408 are 2, 29, 197. Prime factorization of 91408 in exponential form is:

91408 = 24 × 291 × 1971

Prime Factorization of 91428

Prime factors of 91428 are 2, 3, 19, 401. Prime factorization of 91428 in exponential form is:

91428 = 22 × 31 × 191 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 91408 and 91428.

LCM(91408,91428) = 24 × 291 × 1971 × 31 × 191 × 4011
LCM(91408,91428) = 2089312656