What is the Least Common Multiple of 7800 and 7814?

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 7800 and 7814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7800 and 7814, than apply into the LCM equation.

GCF(7800,7814) = 2
LCM(7800,7814) = ( 7800 × 7814) / 2
LCM(7800,7814) = 60949200 / 2
LCM(7800,7814) = 30474600

Least Common Multiple (LCM) of 7800 and 7814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7800 and 7814. First we will calculate the prime factors of 7800 and 7814.

Prime Factorization of 7800

Prime Factorization of 7814

Now multiplying the highest exponent prime factors to calculate the LCM of 7800 and 7814.

LCM(7800,7814) = 2³ × 3¹ × 5² × 13¹ × 3907¹
LCM(7800,7814) = 30474600