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What is the Least Common Multiple of 91219 and 91225?

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 91219 and 91225 is 8321453275.

LCM(91219,91225) = 8321453275

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Least Common Multiple of 91219 and 91225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91219 and 91225, than apply into the LCM equation.

GCF(91219,91225) = 1
LCM(91219,91225) = ( 91219 × 91225) / 1
LCM(91219,91225) = 8321453275 / 1
LCM(91219,91225) = 8321453275

Least Common Multiple (LCM) of 91219 and 91225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91219 and 91225. First we will calculate the prime factors of 91219 and 91225.

Prime Factorization of 91219

Prime factors of 91219 are 19, 4801. Prime factorization of 91219 in exponential form is:

91219 = 191 × 48011

Prime Factorization of 91225

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

91225 = 52 × 411 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 91219 and 91225.

LCM(91219,91225) = 191 × 48011 × 52 × 411 × 891
LCM(91219,91225) = 8321453275