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What is the Least Common Multiple of 91226 and 91236?

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 91226 and 91236 is 4161547668.

LCM(91226,91236) = 4161547668

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Least Common Multiple of 91226 and 91236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91226 and 91236, than apply into the LCM equation.

GCF(91226,91236) = 2
LCM(91226,91236) = ( 91226 × 91236) / 2
LCM(91226,91236) = 8323095336 / 2
LCM(91226,91236) = 4161547668

Least Common Multiple (LCM) of 91226 and 91236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91226 and 91236. First we will calculate the prime factors of 91226 and 91236.

Prime Factorization of 91226

Prime factors of 91226 are 2, 45613. Prime factorization of 91226 in exponential form is:

91226 = 21 × 456131

Prime Factorization of 91236

Prime factors of 91236 are 2, 3, 7603. Prime factorization of 91236 in exponential form is:

91236 = 22 × 31 × 76031

Now multiplying the highest exponent prime factors to calculate the LCM of 91226 and 91236.

LCM(91226,91236) = 22 × 456131 × 31 × 76031
LCM(91226,91236) = 4161547668