What is the Least Common Multiple of 7752 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 of 7752 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 7752 and 7758, than apply into the LCM equation.

GCF(7752,7758) = 6
LCM(7752,7758) = ( 7752 × 7758) / 6
LCM(7752,7758) = 60140016 / 6
LCM(7752,7758) = 10023336

Least Common Multiple (LCM) of 7752 and 7758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7752 and 7758. First we will calculate the prime factors of 7752 and 7758.

Prime Factorization of 7752

Prime Factorization of 7758

Now multiplying the highest exponent prime factors to calculate the LCM of 7752 and 7758.

LCM(7752,7758) = 2³ × 3² × 17¹ × 19¹ × 431¹
LCM(7752,7758) = 10023336