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What is the Least Common Multiple of 7747 and 7757?

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 7747 and 7757 is 60093479.

LCM(7747,7757) = 60093479

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Least Common Multiple of 7747 and 7757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7747 and 7757, than apply into the LCM equation.

GCF(7747,7757) = 1
LCM(7747,7757) = ( 7747 × 7757) / 1
LCM(7747,7757) = 60093479 / 1
LCM(7747,7757) = 60093479

Least Common Multiple (LCM) of 7747 and 7757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7747 and 7757. First we will calculate the prime factors of 7747 and 7757.

Prime Factorization of 7747

Prime factors of 7747 are 61, 127. Prime factorization of 7747 in exponential form is:

7747 = 611 × 1271

Prime Factorization of 7757

Prime factors of 7757 are 7757. Prime factorization of 7757 in exponential form is:

7757 = 77571

Now multiplying the highest exponent prime factors to calculate the LCM of 7747 and 7757.

LCM(7747,7757) = 611 × 1271 × 77571
LCM(7747,7757) = 60093479