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What is the Least Common Multiple of 17780 and 17792?

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 17780 and 17792 is 79085440.

LCM(17780,17792) = 79085440

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Least Common Multiple of 17780 and 17792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17780 and 17792, than apply into the LCM equation.

GCF(17780,17792) = 4
LCM(17780,17792) = ( 17780 × 17792) / 4
LCM(17780,17792) = 316341760 / 4
LCM(17780,17792) = 79085440

Least Common Multiple (LCM) of 17780 and 17792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17780 and 17792. First we will calculate the prime factors of 17780 and 17792.

Prime Factorization of 17780

Prime factors of 17780 are 2, 5, 7, 127. Prime factorization of 17780 in exponential form is:

17780 = 22 × 51 × 71 × 1271

Prime Factorization of 17792

Prime factors of 17792 are 2, 139. Prime factorization of 17792 in exponential form is:

17792 = 27 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 17780 and 17792.

LCM(17780,17792) = 27 × 51 × 71 × 1271 × 1391
LCM(17780,17792) = 79085440