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What is the Least Common Multiple of 92650 and 92654?

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 92650 and 92654 is 4292196550.

LCM(92650,92654) = 4292196550

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Least Common Multiple of 92650 and 92654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92650 and 92654, than apply into the LCM equation.

GCF(92650,92654) = 2
LCM(92650,92654) = ( 92650 × 92654) / 2
LCM(92650,92654) = 8584393100 / 2
LCM(92650,92654) = 4292196550

Least Common Multiple (LCM) of 92650 and 92654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92650 and 92654. First we will calculate the prime factors of 92650 and 92654.

Prime Factorization of 92650

Prime factors of 92650 are 2, 5, 17, 109. Prime factorization of 92650 in exponential form is:

92650 = 21 × 52 × 171 × 1091

Prime Factorization of 92654

Prime factors of 92654 are 2, 46327. Prime factorization of 92654 in exponential form is:

92654 = 21 × 463271

Now multiplying the highest exponent prime factors to calculate the LCM of 92650 and 92654.

LCM(92650,92654) = 21 × 52 × 171 × 1091 × 463271
LCM(92650,92654) = 4292196550