What is the Least Common Multiple of 77400 and 77419?

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 77419 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 77419, than apply into the LCM equation.

GCF(77400,77419) = 1
LCM(77400,77419) = ( 77400 × 77419) / 1
LCM(77400,77419) = 5992230600 / 1
LCM(77400,77419) = 5992230600

Least Common Multiple (LCM) of 77400 and 77419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77400 and 77419. First we will calculate the prime factors of 77400 and 77419.

Prime Factorization of 77400

Prime Factorization of 77419

Now multiplying the highest exponent prime factors to calculate the LCM of 77400 and 77419.

LCM(77400,77419) = 2³ × 3² × 5² × 43¹ × 77419¹
LCM(77400,77419) = 5992230600