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What is the Least Common Multiple of 91426 and 91440?

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 91426 and 91440 is 4179996720.

LCM(91426,91440) = 4179996720

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Least Common Multiple of 91426 and 91440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91426 and 91440, than apply into the LCM equation.

GCF(91426,91440) = 2
LCM(91426,91440) = ( 91426 × 91440) / 2
LCM(91426,91440) = 8359993440 / 2
LCM(91426,91440) = 4179996720

Least Common Multiple (LCM) of 91426 and 91440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91426 and 91440. First we will calculate the prime factors of 91426 and 91440.

Prime Factorization of 91426

Prime factors of 91426 are 2, 17, 2689. Prime factorization of 91426 in exponential form is:

91426 = 21 × 171 × 26891

Prime Factorization of 91440

Prime factors of 91440 are 2, 3, 5, 127. Prime factorization of 91440 in exponential form is:

91440 = 24 × 32 × 51 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 91426 and 91440.

LCM(91426,91440) = 24 × 171 × 26891 × 32 × 51 × 1271
LCM(91426,91440) = 4179996720