What is the Least Common Multiple of 10752 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 of 10752 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 10752 and 10765, than apply into the LCM equation.

GCF(10752,10765) = 1
LCM(10752,10765) = ( 10752 × 10765) / 1
LCM(10752,10765) = 115745280 / 1
LCM(10752,10765) = 115745280

Least Common Multiple (LCM) of 10752 and 10765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10752 and 10765. First we will calculate the prime factors of 10752 and 10765.

Prime Factorization of 10752

Prime Factorization of 10765

Now multiplying the highest exponent prime factors to calculate the LCM of 10752 and 10765.

LCM(10752,10765) = 2⁹ × 3¹ × 7¹ × 5¹ × 2153¹
LCM(10752,10765) = 115745280