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What is the Least Common Multiple of 17777 and 17787?

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 17777 and 17787 is 316199499.

LCM(17777,17787) = 316199499

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Least Common Multiple of 17777 and 17787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17777 and 17787, than apply into the LCM equation.

GCF(17777,17787) = 1
LCM(17777,17787) = ( 17777 × 17787) / 1
LCM(17777,17787) = 316199499 / 1
LCM(17777,17787) = 316199499

Least Common Multiple (LCM) of 17777 and 17787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17777 and 17787. First we will calculate the prime factors of 17777 and 17787.

Prime Factorization of 17777

Prime factors of 17777 are 29, 613. Prime factorization of 17777 in exponential form is:

17777 = 291 × 6131

Prime Factorization of 17787

Prime factors of 17787 are 3, 7, 11. Prime factorization of 17787 in exponential form is:

17787 = 31 × 72 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 17777 and 17787.

LCM(17777,17787) = 291 × 6131 × 31 × 72 × 112
LCM(17777,17787) = 316199499