What is the Least Common Multiple of 62178 and 62184?

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 62178 and 62184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62178 and 62184, than apply into the LCM equation.

GCF(62178,62184) = 6
LCM(62178,62184) = ( 62178 × 62184) / 6
LCM(62178,62184) = 3866476752 / 6
LCM(62178,62184) = 644412792

Least Common Multiple (LCM) of 62178 and 62184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62178 and 62184. First we will calculate the prime factors of 62178 and 62184.

Prime Factorization of 62178

Prime Factorization of 62184

Now multiplying the highest exponent prime factors to calculate the LCM of 62178 and 62184.

LCM(62178,62184) = 2³ × 3¹ × 43¹ × 241¹ × 2591¹
LCM(62178,62184) = 644412792