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What is the Least Common Multiple of 91596 and 91603?

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 91596 and 91603 is 8390468388.

LCM(91596,91603) = 8390468388

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Least Common Multiple of 91596 and 91603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91596 and 91603, than apply into the LCM equation.

GCF(91596,91603) = 1
LCM(91596,91603) = ( 91596 × 91603) / 1
LCM(91596,91603) = 8390468388 / 1
LCM(91596,91603) = 8390468388

Least Common Multiple (LCM) of 91596 and 91603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91596 and 91603. First we will calculate the prime factors of 91596 and 91603.

Prime Factorization of 91596

Prime factors of 91596 are 2, 3, 17, 449. Prime factorization of 91596 in exponential form is:

91596 = 22 × 31 × 171 × 4491

Prime Factorization of 91603

Prime factors of 91603 are 47, 1949. Prime factorization of 91603 in exponential form is:

91603 = 471 × 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 91596 and 91603.

LCM(91596,91603) = 22 × 31 × 171 × 4491 × 471 × 19491
LCM(91596,91603) = 8390468388