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What is the Least Common Multiple of 91436 and 91448?

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 91436 and 91448 is 2090409832.

LCM(91436,91448) = 2090409832

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Least Common Multiple of 91436 and 91448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91436 and 91448, than apply into the LCM equation.

GCF(91436,91448) = 4
LCM(91436,91448) = ( 91436 × 91448) / 4
LCM(91436,91448) = 8361639328 / 4
LCM(91436,91448) = 2090409832

Least Common Multiple (LCM) of 91436 and 91448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91436 and 91448. First we will calculate the prime factors of 91436 and 91448.

Prime Factorization of 91436

Prime factors of 91436 are 2, 22859. Prime factorization of 91436 in exponential form is:

91436 = 22 × 228591

Prime Factorization of 91448

Prime factors of 91448 are 2, 7, 23, 71. Prime factorization of 91448 in exponential form is:

91448 = 23 × 71 × 231 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 91436 and 91448.

LCM(91436,91448) = 23 × 228591 × 71 × 231 × 711
LCM(91436,91448) = 2090409832