What is the Least Common Multiple of 7752 and 7768?

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 7768 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 7768, than apply into the LCM equation.

GCF(7752,7768) = 8
LCM(7752,7768) = ( 7752 × 7768) / 8
LCM(7752,7768) = 60217536 / 8
LCM(7752,7768) = 7527192

Least Common Multiple (LCM) of 7752 and 7768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7752 and 7768. First we will calculate the prime factors of 7752 and 7768.

Prime Factorization of 7752

Prime Factorization of 7768

Now multiplying the highest exponent prime factors to calculate the LCM of 7752 and 7768.

LCM(7752,7768) = 2³ × 3¹ × 17¹ × 19¹ × 971¹
LCM(7752,7768) = 7527192