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What is the Least Common Multiple of 77225 and 77243?

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 77225 and 77243 is 5965090675.

LCM(77225,77243) = 5965090675

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Least Common Multiple of 77225 and 77243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77225 and 77243, than apply into the LCM equation.

GCF(77225,77243) = 1
LCM(77225,77243) = ( 77225 × 77243) / 1
LCM(77225,77243) = 5965090675 / 1
LCM(77225,77243) = 5965090675

Least Common Multiple (LCM) of 77225 and 77243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77225 and 77243. First we will calculate the prime factors of 77225 and 77243.

Prime Factorization of 77225

Prime factors of 77225 are 5, 3089. Prime factorization of 77225 in exponential form is:

77225 = 52 × 30891

Prime Factorization of 77243

Prime factors of 77243 are 77243. Prime factorization of 77243 in exponential form is:

77243 = 772431

Now multiplying the highest exponent prime factors to calculate the LCM of 77225 and 77243.

LCM(77225,77243) = 52 × 30891 × 772431
LCM(77225,77243) = 5965090675