What is the Least Common Multiple of 77380 and 77384?

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 77380 and 77384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77380 and 77384, than apply into the LCM equation.

GCF(77380,77384) = 4
LCM(77380,77384) = ( 77380 × 77384) / 4
LCM(77380,77384) = 5987973920 / 4
LCM(77380,77384) = 1496993480

Least Common Multiple (LCM) of 77380 and 77384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77380 and 77384. First we will calculate the prime factors of 77380 and 77384.

Prime Factorization of 77380

Prime Factorization of 77384

Now multiplying the highest exponent prime factors to calculate the LCM of 77380 and 77384.

LCM(77380,77384) = 2³ × 5¹ × 53¹ × 73¹ × 17¹ × 569¹
LCM(77380,77384) = 1496993480