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What is the Least Common Multiple of 91440 and 91444?

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 91440 and 91444 is 2090409840.

LCM(91440,91444) = 2090409840

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Least Common Multiple of 91440 and 91444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91440 and 91444, than apply into the LCM equation.

GCF(91440,91444) = 4
LCM(91440,91444) = ( 91440 × 91444) / 4
LCM(91440,91444) = 8361639360 / 4
LCM(91440,91444) = 2090409840

Least Common Multiple (LCM) of 91440 and 91444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91440 and 91444. First we will calculate the prime factors of 91440 and 91444.

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

Prime Factorization of 91444

Prime factors of 91444 are 2, 22861. Prime factorization of 91444 in exponential form is:

91444 = 22 × 228611

Now multiplying the highest exponent prime factors to calculate the LCM of 91440 and 91444.

LCM(91440,91444) = 24 × 32 × 51 × 1271 × 228611
LCM(91440,91444) = 2090409840