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What is the Least Common Multiple of 17072 and 17091?

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 17072 and 17091 is 291777552.

LCM(17072,17091) = 291777552

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Least Common Multiple of 17072 and 17091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17072 and 17091, than apply into the LCM equation.

GCF(17072,17091) = 1
LCM(17072,17091) = ( 17072 × 17091) / 1
LCM(17072,17091) = 291777552 / 1
LCM(17072,17091) = 291777552

Least Common Multiple (LCM) of 17072 and 17091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17072 and 17091. First we will calculate the prime factors of 17072 and 17091.

Prime Factorization of 17072

Prime factors of 17072 are 2, 11, 97. Prime factorization of 17072 in exponential form is:

17072 = 24 × 111 × 971

Prime Factorization of 17091

Prime factors of 17091 are 3, 211. Prime factorization of 17091 in exponential form is:

17091 = 34 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 17072 and 17091.

LCM(17072,17091) = 24 × 111 × 971 × 34 × 2111
LCM(17072,17091) = 291777552