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What is the Least Common Multiple of 91446 and 91457?

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 91446 and 91457 is 8363376822.

LCM(91446,91457) = 8363376822

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Least Common Multiple of 91446 and 91457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91446 and 91457, than apply into the LCM equation.

GCF(91446,91457) = 1
LCM(91446,91457) = ( 91446 × 91457) / 1
LCM(91446,91457) = 8363376822 / 1
LCM(91446,91457) = 8363376822

Least Common Multiple (LCM) of 91446 and 91457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91446 and 91457. First we will calculate the prime factors of 91446 and 91457.

Prime Factorization of 91446

Prime factors of 91446 are 2, 3, 15241. Prime factorization of 91446 in exponential form is:

91446 = 21 × 31 × 152411

Prime Factorization of 91457

Prime factors of 91457 are 91457. Prime factorization of 91457 in exponential form is:

91457 = 914571

Now multiplying the highest exponent prime factors to calculate the LCM of 91446 and 91457.

LCM(91446,91457) = 21 × 31 × 152411 × 914571
LCM(91446,91457) = 8363376822