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What is the Least Common Multiple of 91378 and 91393?

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 91378 and 91393 is 8351309554.

LCM(91378,91393) = 8351309554

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Least Common Multiple of 91378 and 91393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91378 and 91393, than apply into the LCM equation.

GCF(91378,91393) = 1
LCM(91378,91393) = ( 91378 × 91393) / 1
LCM(91378,91393) = 8351309554 / 1
LCM(91378,91393) = 8351309554

Least Common Multiple (LCM) of 91378 and 91393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91378 and 91393. First we will calculate the prime factors of 91378 and 91393.

Prime Factorization of 91378

Prime factors of 91378 are 2, 7, 61, 107. Prime factorization of 91378 in exponential form is:

91378 = 21 × 71 × 611 × 1071

Prime Factorization of 91393

Prime factors of 91393 are 91393. Prime factorization of 91393 in exponential form is:

91393 = 913931

Now multiplying the highest exponent prime factors to calculate the LCM of 91378 and 91393.

LCM(91378,91393) = 21 × 71 × 611 × 1071 × 913931
LCM(91378,91393) = 8351309554