What is the Least Common Multiple of 5752 and 5767?

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 5752 and 5767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5752 and 5767, than apply into the LCM equation.

GCF(5752,5767) = 1
LCM(5752,5767) = ( 5752 × 5767) / 1
LCM(5752,5767) = 33171784 / 1
LCM(5752,5767) = 33171784

Least Common Multiple (LCM) of 5752 and 5767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5752 and 5767. First we will calculate the prime factors of 5752 and 5767.

Prime Factorization of 5752

Prime Factorization of 5767

Now multiplying the highest exponent prime factors to calculate the LCM of 5752 and 5767.

LCM(5752,5767) = 2³ × 719¹ × 73¹ × 79¹
LCM(5752,5767) = 33171784