What is the Least Common Multiple of 77400 and 77420?

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 77400 and 77420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77400 and 77420, than apply into the LCM equation.

GCF(77400,77420) = 20
LCM(77400,77420) = ( 77400 × 77420) / 20
LCM(77400,77420) = 5992308000 / 20
LCM(77400,77420) = 299615400

Least Common Multiple (LCM) of 77400 and 77420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77400 and 77420. First we will calculate the prime factors of 77400 and 77420.

Prime Factorization of 77400

Prime Factorization of 77420

Now multiplying the highest exponent prime factors to calculate the LCM of 77400 and 77420.

LCM(77400,77420) = 2³ × 3² × 5² × 43¹ × 7² × 79¹
LCM(77400,77420) = 299615400