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What is the Least Common Multiple of 91528 and 91546?

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 91528 and 91546 is 4189511144.

LCM(91528,91546) = 4189511144

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Least Common Multiple of 91528 and 91546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91528 and 91546, than apply into the LCM equation.

GCF(91528,91546) = 2
LCM(91528,91546) = ( 91528 × 91546) / 2
LCM(91528,91546) = 8379022288 / 2
LCM(91528,91546) = 4189511144

Least Common Multiple (LCM) of 91528 and 91546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91528 and 91546. First we will calculate the prime factors of 91528 and 91546.

Prime Factorization of 91528

Prime factors of 91528 are 2, 17, 673. Prime factorization of 91528 in exponential form is:

91528 = 23 × 171 × 6731

Prime Factorization of 91546

Prime factors of 91546 are 2, 7, 13, 503. Prime factorization of 91546 in exponential form is:

91546 = 21 × 71 × 131 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 91528 and 91546.

LCM(91528,91546) = 23 × 171 × 6731 × 71 × 131 × 5031
LCM(91528,91546) = 4189511144