What is the Least Common Multiple of 7784 and 7800?

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 7784 and 7800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7784 and 7800, than apply into the LCM equation.

GCF(7784,7800) = 8
LCM(7784,7800) = ( 7784 × 7800) / 8
LCM(7784,7800) = 60715200 / 8
LCM(7784,7800) = 7589400

Least Common Multiple (LCM) of 7784 and 7800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7784 and 7800. First we will calculate the prime factors of 7784 and 7800.

Prime Factorization of 7784

Prime Factorization of 7800

Now multiplying the highest exponent prime factors to calculate the LCM of 7784 and 7800.

LCM(7784,7800) = 2³ × 7¹ × 139¹ × 3¹ × 5² × 13¹
LCM(7784,7800) = 7589400