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What is the Least Common Multiple of 91628 and 91639?

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 91628 and 91639 is 8396698292.

LCM(91628,91639) = 8396698292

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Least Common Multiple of 91628 and 91639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91628 and 91639, than apply into the LCM equation.

GCF(91628,91639) = 1
LCM(91628,91639) = ( 91628 × 91639) / 1
LCM(91628,91639) = 8396698292 / 1
LCM(91628,91639) = 8396698292

Least Common Multiple (LCM) of 91628 and 91639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91628 and 91639. First we will calculate the prime factors of 91628 and 91639.

Prime Factorization of 91628

Prime factors of 91628 are 2, 22907. Prime factorization of 91628 in exponential form is:

91628 = 22 × 229071

Prime Factorization of 91639

Prime factors of 91639 are 91639. Prime factorization of 91639 in exponential form is:

91639 = 916391

Now multiplying the highest exponent prime factors to calculate the LCM of 91628 and 91639.

LCM(91628,91639) = 22 × 229071 × 916391
LCM(91628,91639) = 8396698292