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What is the Least Common Multiple of 91578 and 91598?

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 91578 and 91598 is 4194180822.

LCM(91578,91598) = 4194180822

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Least Common Multiple of 91578 and 91598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91578 and 91598, than apply into the LCM equation.

GCF(91578,91598) = 2
LCM(91578,91598) = ( 91578 × 91598) / 2
LCM(91578,91598) = 8388361644 / 2
LCM(91578,91598) = 4194180822

Least Common Multiple (LCM) of 91578 and 91598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91578 and 91598. First we will calculate the prime factors of 91578 and 91598.

Prime Factorization of 91578

Prime factors of 91578 are 2, 3, 15263. Prime factorization of 91578 in exponential form is:

91578 = 21 × 31 × 152631

Prime Factorization of 91598

Prime factors of 91598 are 2, 13, 271. Prime factorization of 91598 in exponential form is:

91598 = 21 × 132 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 91578 and 91598.

LCM(91578,91598) = 21 × 31 × 152631 × 132 × 2711
LCM(91578,91598) = 4194180822