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What is the Least Common Multiple of 91455 and 91474?

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 91455 and 91474 is 8365754670.

LCM(91455,91474) = 8365754670

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Least Common Multiple of 91455 and 91474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91455 and 91474, than apply into the LCM equation.

GCF(91455,91474) = 1
LCM(91455,91474) = ( 91455 × 91474) / 1
LCM(91455,91474) = 8365754670 / 1
LCM(91455,91474) = 8365754670

Least Common Multiple (LCM) of 91455 and 91474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91455 and 91474. First we will calculate the prime factors of 91455 and 91474.

Prime Factorization of 91455

Prime factors of 91455 are 3, 5, 7, 13, 67. Prime factorization of 91455 in exponential form is:

91455 = 31 × 51 × 71 × 131 × 671

Prime Factorization of 91474

Prime factors of 91474 are 2, 45737. Prime factorization of 91474 in exponential form is:

91474 = 21 × 457371

Now multiplying the highest exponent prime factors to calculate the LCM of 91455 and 91474.

LCM(91455,91474) = 31 × 51 × 71 × 131 × 671 × 21 × 457371
LCM(91455,91474) = 8365754670