What is the Least Common Multiple of 75768 and 75776?

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 75768 and 75776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75768 and 75776, than apply into the LCM equation.

GCF(75768,75776) = 8
LCM(75768,75776) = ( 75768 × 75776) / 8
LCM(75768,75776) = 5741395968 / 8
LCM(75768,75776) = 717674496

Least Common Multiple (LCM) of 75768 and 75776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75768 and 75776. First we will calculate the prime factors of 75768 and 75776.

Prime Factorization of 75768

Prime Factorization of 75776

Now multiplying the highest exponent prime factors to calculate the LCM of 75768 and 75776.

LCM(75768,75776) = 2¹¹ × 3¹ × 7¹ × 11¹ × 41¹ × 37¹
LCM(75768,75776) = 717674496