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What is the Least Common Multiple of 15763 and 15767?

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 15763 and 15767 is 248535221.

LCM(15763,15767) = 248535221

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Least Common Multiple of 15763 and 15767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15763 and 15767, than apply into the LCM equation.

GCF(15763,15767) = 1
LCM(15763,15767) = ( 15763 × 15767) / 1
LCM(15763,15767) = 248535221 / 1
LCM(15763,15767) = 248535221

Least Common Multiple (LCM) of 15763 and 15767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15763 and 15767. First we will calculate the prime factors of 15763 and 15767.

Prime Factorization of 15763

Prime factors of 15763 are 11, 1433. Prime factorization of 15763 in exponential form is:

15763 = 111 × 14331

Prime Factorization of 15767

Prime factors of 15767 are 15767. Prime factorization of 15767 in exponential form is:

15767 = 157671

Now multiplying the highest exponent prime factors to calculate the LCM of 15763 and 15767.

LCM(15763,15767) = 111 × 14331 × 157671
LCM(15763,15767) = 248535221