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What is the Least Common Multiple of 91542 and 91549?

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 91542 and 91549 is 8380578558.

LCM(91542,91549) = 8380578558

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Least Common Multiple of 91542 and 91549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91542 and 91549, than apply into the LCM equation.

GCF(91542,91549) = 1
LCM(91542,91549) = ( 91542 × 91549) / 1
LCM(91542,91549) = 8380578558 / 1
LCM(91542,91549) = 8380578558

Least Common Multiple (LCM) of 91542 and 91549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91542 and 91549. First we will calculate the prime factors of 91542 and 91549.

Prime Factorization of 91542

Prime factors of 91542 are 2, 3, 11, 19, 73. Prime factorization of 91542 in exponential form is:

91542 = 21 × 31 × 111 × 191 × 731

Prime Factorization of 91549

Prime factors of 91549 are 83, 1103. Prime factorization of 91549 in exponential form is:

91549 = 831 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 91542 and 91549.

LCM(91542,91549) = 21 × 31 × 111 × 191 × 731 × 831 × 11031
LCM(91542,91549) = 8380578558