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What is the Least Common Multiple of 10748 and 10765?

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 10748 and 10765 is 115702220.

LCM(10748,10765) = 115702220

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Least Common Multiple of 10748 and 10765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10748 and 10765, than apply into the LCM equation.

GCF(10748,10765) = 1
LCM(10748,10765) = ( 10748 × 10765) / 1
LCM(10748,10765) = 115702220 / 1
LCM(10748,10765) = 115702220

Least Common Multiple (LCM) of 10748 and 10765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10748 and 10765. First we will calculate the prime factors of 10748 and 10765.

Prime Factorization of 10748

Prime factors of 10748 are 2, 2687. Prime factorization of 10748 in exponential form is:

10748 = 22 × 26871

Prime Factorization of 10765

Prime factors of 10765 are 5, 2153. Prime factorization of 10765 in exponential form is:

10765 = 51 × 21531

Now multiplying the highest exponent prime factors to calculate the LCM of 10748 and 10765.

LCM(10748,10765) = 22 × 26871 × 51 × 21531
LCM(10748,10765) = 115702220