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What is the Least Common Multiple of 91059 and 91064?

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 91059 and 91064 is 8292196776.

LCM(91059,91064) = 8292196776

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Least Common Multiple of 91059 and 91064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91059 and 91064, than apply into the LCM equation.

GCF(91059,91064) = 1
LCM(91059,91064) = ( 91059 × 91064) / 1
LCM(91059,91064) = 8292196776 / 1
LCM(91059,91064) = 8292196776

Least Common Multiple (LCM) of 91059 and 91064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91059 and 91064. First we will calculate the prime factors of 91059 and 91064.

Prime Factorization of 91059

Prime factors of 91059 are 3, 127, 239. Prime factorization of 91059 in exponential form is:

91059 = 31 × 1271 × 2391

Prime Factorization of 91064

Prime factors of 91064 are 2, 11383. Prime factorization of 91064 in exponential form is:

91064 = 23 × 113831

Now multiplying the highest exponent prime factors to calculate the LCM of 91059 and 91064.

LCM(91059,91064) = 31 × 1271 × 2391 × 23 × 113831
LCM(91059,91064) = 8292196776