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What is the Least Common Multiple of 92434 and 92454?

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 92434 and 92454 is 4272946518.

LCM(92434,92454) = 4272946518

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Least Common Multiple of 92434 and 92454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92434 and 92454, than apply into the LCM equation.

GCF(92434,92454) = 2
LCM(92434,92454) = ( 92434 × 92454) / 2
LCM(92434,92454) = 8545893036 / 2
LCM(92434,92454) = 4272946518

Least Common Multiple (LCM) of 92434 and 92454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92434 and 92454. First we will calculate the prime factors of 92434 and 92454.

Prime Factorization of 92434

Prime factors of 92434 are 2, 113, 409. Prime factorization of 92434 in exponential form is:

92434 = 21 × 1131 × 4091

Prime Factorization of 92454

Prime factors of 92454 are 2, 3, 19, 811. Prime factorization of 92454 in exponential form is:

92454 = 21 × 31 × 191 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 92434 and 92454.

LCM(92434,92454) = 21 × 1131 × 4091 × 31 × 191 × 8111
LCM(92434,92454) = 4272946518