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What is the Least Common Multiple of 91929 and 91934?

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 91929 and 91934 is 8451400686.

LCM(91929,91934) = 8451400686

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Least Common Multiple of 91929 and 91934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91929 and 91934, than apply into the LCM equation.

GCF(91929,91934) = 1
LCM(91929,91934) = ( 91929 × 91934) / 1
LCM(91929,91934) = 8451400686 / 1
LCM(91929,91934) = 8451400686

Least Common Multiple (LCM) of 91929 and 91934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91929 and 91934. First we will calculate the prime factors of 91929 and 91934.

Prime Factorization of 91929

Prime factors of 91929 are 3, 30643. Prime factorization of 91929 in exponential form is:

91929 = 31 × 306431

Prime Factorization of 91934

Prime factors of 91934 are 2, 43, 1069. Prime factorization of 91934 in exponential form is:

91934 = 21 × 431 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 91929 and 91934.

LCM(91929,91934) = 31 × 306431 × 21 × 431 × 10691
LCM(91929,91934) = 8451400686