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What is the Least Common Multiple of 30082 and 30091?

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 30082 and 30091 is 905197462.

LCM(30082,30091) = 905197462

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Least Common Multiple of 30082 and 30091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30082 and 30091, than apply into the LCM equation.

GCF(30082,30091) = 1
LCM(30082,30091) = ( 30082 × 30091) / 1
LCM(30082,30091) = 905197462 / 1
LCM(30082,30091) = 905197462

Least Common Multiple (LCM) of 30082 and 30091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30082 and 30091. First we will calculate the prime factors of 30082 and 30091.

Prime Factorization of 30082

Prime factors of 30082 are 2, 13, 89. Prime factorization of 30082 in exponential form is:

30082 = 21 × 132 × 891

Prime Factorization of 30091

Prime factors of 30091 are 30091. Prime factorization of 30091 in exponential form is:

30091 = 300911

Now multiplying the highest exponent prime factors to calculate the LCM of 30082 and 30091.

LCM(30082,30091) = 21 × 132 × 891 × 300911
LCM(30082,30091) = 905197462