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What is the Least Common Multiple of 92641 and 92650?

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 92641 and 92650 is 8583188650.

LCM(92641,92650) = 8583188650

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Least Common Multiple of 92641 and 92650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92641 and 92650, than apply into the LCM equation.

GCF(92641,92650) = 1
LCM(92641,92650) = ( 92641 × 92650) / 1
LCM(92641,92650) = 8583188650 / 1
LCM(92641,92650) = 8583188650

Least Common Multiple (LCM) of 92641 and 92650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92641 and 92650. First we will calculate the prime factors of 92641 and 92650.

Prime Factorization of 92641

Prime factors of 92641 are 92641. Prime factorization of 92641 in exponential form is:

92641 = 926411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 92641 and 92650.

LCM(92641,92650) = 926411 × 21 × 52 × 171 × 1091
LCM(92641,92650) = 8583188650