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What is the Least Common Multiple of 91057 and 91073?

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 91057 and 91073 is 8292834161.

LCM(91057,91073) = 8292834161

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Least Common Multiple of 91057 and 91073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91057 and 91073, than apply into the LCM equation.

GCF(91057,91073) = 1
LCM(91057,91073) = ( 91057 × 91073) / 1
LCM(91057,91073) = 8292834161 / 1
LCM(91057,91073) = 8292834161

Least Common Multiple (LCM) of 91057 and 91073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91057 and 91073. First we will calculate the prime factors of 91057 and 91073.

Prime Factorization of 91057

Prime factors of 91057 are 23, 37, 107. Prime factorization of 91057 in exponential form is:

91057 = 231 × 371 × 1071

Prime Factorization of 91073

Prime factors of 91073 are 61, 1493. Prime factorization of 91073 in exponential form is:

91073 = 611 × 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 91057 and 91073.

LCM(91057,91073) = 231 × 371 × 1071 × 611 × 14931
LCM(91057,91073) = 8292834161