What is the Least Common Multiple of 7752 and 7770?

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 7770 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 7770, than apply into the LCM equation.

GCF(7752,7770) = 6
LCM(7752,7770) = ( 7752 × 7770) / 6
LCM(7752,7770) = 60233040 / 6
LCM(7752,7770) = 10038840

Least Common Multiple (LCM) of 7752 and 7770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7752 and 7770. First we will calculate the prime factors of 7752 and 7770.

Prime Factorization of 7752

Prime Factorization of 7770

Now multiplying the highest exponent prime factors to calculate the LCM of 7752 and 7770.

LCM(7752,7770) = 2³ × 3¹ × 17¹ × 19¹ × 5¹ × 7¹ × 37¹
LCM(7752,7770) = 10038840