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What is the Least Common Multiple of 30775 and 30795?

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 30775 and 30795 is 189543225.

LCM(30775,30795) = 189543225

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Least Common Multiple of 30775 and 30795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30775 and 30795, than apply into the LCM equation.

GCF(30775,30795) = 5
LCM(30775,30795) = ( 30775 × 30795) / 5
LCM(30775,30795) = 947716125 / 5
LCM(30775,30795) = 189543225

Least Common Multiple (LCM) of 30775 and 30795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30775 and 30795. First we will calculate the prime factors of 30775 and 30795.

Prime Factorization of 30775

Prime factors of 30775 are 5, 1231. Prime factorization of 30775 in exponential form is:

30775 = 52 × 12311

Prime Factorization of 30795

Prime factors of 30795 are 3, 5, 2053. Prime factorization of 30795 in exponential form is:

30795 = 31 × 51 × 20531

Now multiplying the highest exponent prime factors to calculate the LCM of 30775 and 30795.

LCM(30775,30795) = 52 × 12311 × 31 × 20531
LCM(30775,30795) = 189543225