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What is the Least Common Multiple of 91945 and 91965?

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 91945 and 91965 is 1691144385.

LCM(91945,91965) = 1691144385

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Least Common Multiple of 91945 and 91965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91945 and 91965, than apply into the LCM equation.

GCF(91945,91965) = 5
LCM(91945,91965) = ( 91945 × 91965) / 5
LCM(91945,91965) = 8455721925 / 5
LCM(91945,91965) = 1691144385

Least Common Multiple (LCM) of 91945 and 91965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91945 and 91965. First we will calculate the prime factors of 91945 and 91965.

Prime Factorization of 91945

Prime factors of 91945 are 5, 7, 37, 71. Prime factorization of 91945 in exponential form is:

91945 = 51 × 71 × 371 × 711

Prime Factorization of 91965

Prime factors of 91965 are 3, 5, 6131. Prime factorization of 91965 in exponential form is:

91965 = 31 × 51 × 61311

Now multiplying the highest exponent prime factors to calculate the LCM of 91945 and 91965.

LCM(91945,91965) = 51 × 71 × 371 × 711 × 31 × 61311
LCM(91945,91965) = 1691144385