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What is the Least Common Multiple of 91451 and 91468?

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 91451 and 91468 is 8364840068.

LCM(91451,91468) = 8364840068

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Least Common Multiple of 91451 and 91468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91451 and 91468, than apply into the LCM equation.

GCF(91451,91468) = 1
LCM(91451,91468) = ( 91451 × 91468) / 1
LCM(91451,91468) = 8364840068 / 1
LCM(91451,91468) = 8364840068

Least Common Multiple (LCM) of 91451 and 91468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91451 and 91468. First we will calculate the prime factors of 91451 and 91468.

Prime Factorization of 91451

Prime factors of 91451 are 109, 839. Prime factorization of 91451 in exponential form is:

91451 = 1091 × 8391

Prime Factorization of 91468

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

91468 = 22 × 131 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 91451 and 91468.

LCM(91451,91468) = 1091 × 8391 × 22 × 131 × 17591
LCM(91451,91468) = 8364840068