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What is the Least Common Multiple of 7748 and 7758?

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 7748 and 7758 is 30054492.

LCM(7748,7758) = 30054492

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Least Common Multiple of 7748 and 7758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7748 and 7758, than apply into the LCM equation.

GCF(7748,7758) = 2
LCM(7748,7758) = ( 7748 × 7758) / 2
LCM(7748,7758) = 60108984 / 2
LCM(7748,7758) = 30054492

Least Common Multiple (LCM) of 7748 and 7758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7748 and 7758. First we will calculate the prime factors of 7748 and 7758.

Prime Factorization of 7748

Prime factors of 7748 are 2, 13, 149. Prime factorization of 7748 in exponential form is:

7748 = 22 × 131 × 1491

Prime Factorization of 7758

Prime factors of 7758 are 2, 3, 431. Prime factorization of 7758 in exponential form is:

7758 = 21 × 32 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 7748 and 7758.

LCM(7748,7758) = 22 × 131 × 1491 × 32 × 4311
LCM(7748,7758) = 30054492