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What is the Least Common Multiple of 91225 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 91225 and 91236 is 8323004100.

LCM(91225,91236) = 8323004100

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Least Common Multiple of 91225 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 91225 and 91236, than apply into the LCM equation.

GCF(91225,91236) = 1
LCM(91225,91236) = ( 91225 × 91236) / 1
LCM(91225,91236) = 8323004100 / 1
LCM(91225,91236) = 8323004100

Least Common Multiple (LCM) of 91225 and 91236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91225 and 91236. First we will calculate the prime factors of 91225 and 91236.

Prime Factorization of 91225

Prime factors of 91225 are 5, 41, 89. Prime factorization of 91225 in exponential form is:

91225 = 52 × 411 × 891

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 91225 and 91236.

LCM(91225,91236) = 52 × 411 × 891 × 22 × 31 × 76031
LCM(91225,91236) = 8323004100