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What is the Least Common Multiple of 91552 and 91561?

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 91552 and 91561 is 8382592672.

LCM(91552,91561) = 8382592672

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Least Common Multiple of 91552 and 91561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91552 and 91561, than apply into the LCM equation.

GCF(91552,91561) = 1
LCM(91552,91561) = ( 91552 × 91561) / 1
LCM(91552,91561) = 8382592672 / 1
LCM(91552,91561) = 8382592672

Least Common Multiple (LCM) of 91552 and 91561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91552 and 91561. First we will calculate the prime factors of 91552 and 91561.

Prime Factorization of 91552

Prime factors of 91552 are 2, 2861. Prime factorization of 91552 in exponential form is:

91552 = 25 × 28611

Prime Factorization of 91561

Prime factors of 91561 are 19, 61, 79. Prime factorization of 91561 in exponential form is:

91561 = 191 × 611 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 91552 and 91561.

LCM(91552,91561) = 25 × 28611 × 191 × 611 × 791
LCM(91552,91561) = 8382592672