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What is the Least Common Multiple of 96236 and 96245?

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 96236 and 96245 is 9262233820.

LCM(96236,96245) = 9262233820

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Least Common Multiple of 96236 and 96245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96236 and 96245, than apply into the LCM equation.

GCF(96236,96245) = 1
LCM(96236,96245) = ( 96236 × 96245) / 1
LCM(96236,96245) = 9262233820 / 1
LCM(96236,96245) = 9262233820

Least Common Multiple (LCM) of 96236 and 96245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96236 and 96245. First we will calculate the prime factors of 96236 and 96245.

Prime Factorization of 96236

Prime factors of 96236 are 2, 7, 491. Prime factorization of 96236 in exponential form is:

96236 = 22 × 72 × 4911

Prime Factorization of 96245

Prime factors of 96245 are 5, 19249. Prime factorization of 96245 in exponential form is:

96245 = 51 × 192491

Now multiplying the highest exponent prime factors to calculate the LCM of 96236 and 96245.

LCM(96236,96245) = 22 × 72 × 4911 × 51 × 192491
LCM(96236,96245) = 9262233820