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What is the Least Common Multiple of 91468 and 91478?

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 91468 and 91478 is 4183654852.

LCM(91468,91478) = 4183654852

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Least Common Multiple of 91468 and 91478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91468 and 91478, than apply into the LCM equation.

GCF(91468,91478) = 2
LCM(91468,91478) = ( 91468 × 91478) / 2
LCM(91468,91478) = 8367309704 / 2
LCM(91468,91478) = 4183654852

Least Common Multiple (LCM) of 91468 and 91478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91468 and 91478. First we will calculate the prime factors of 91468 and 91478.

Prime Factorization of 91468

Prime factors of 91468 are 2, 13, 1759. Prime factorization of 91468 in exponential form is:

91468 = 22 × 131 × 17591

Prime Factorization of 91478

Prime factors of 91478 are 2, 53, 863. Prime factorization of 91478 in exponential form is:

91478 = 21 × 531 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 91468 and 91478.

LCM(91468,91478) = 22 × 131 × 17591 × 531 × 8631
LCM(91468,91478) = 4183654852