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What is the Least Common Multiple of 91536 and 91553?

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 91536 and 91553 is 8380395408.

LCM(91536,91553) = 8380395408

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Least Common Multiple of 91536 and 91553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91536 and 91553, than apply into the LCM equation.

GCF(91536,91553) = 1
LCM(91536,91553) = ( 91536 × 91553) / 1
LCM(91536,91553) = 8380395408 / 1
LCM(91536,91553) = 8380395408

Least Common Multiple (LCM) of 91536 and 91553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91536 and 91553. First we will calculate the prime factors of 91536 and 91553.

Prime Factorization of 91536

Prime factors of 91536 are 2, 3, 1907. Prime factorization of 91536 in exponential form is:

91536 = 24 × 31 × 19071

Prime Factorization of 91553

Prime factors of 91553 are 7, 11, 29, 41. Prime factorization of 91553 in exponential form is:

91553 = 71 × 111 × 291 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 91536 and 91553.

LCM(91536,91553) = 24 × 31 × 19071 × 71 × 111 × 291 × 411
LCM(91536,91553) = 8380395408