What is the Least Common Multiple of 54178 and 54196?

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 54178 and 54196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54178 and 54196, than apply into the LCM equation.

GCF(54178,54196) = 2
LCM(54178,54196) = ( 54178 × 54196) / 2
LCM(54178,54196) = 2936230888 / 2
LCM(54178,54196) = 1468115444

Least Common Multiple (LCM) of 54178 and 54196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54178 and 54196. First we will calculate the prime factors of 54178 and 54196.

Prime Factorization of 54178

Prime Factorization of 54196

Now multiplying the highest exponent prime factors to calculate the LCM of 54178 and 54196.

LCM(54178,54196) = 2² × 103¹ × 263¹ × 17¹ × 797¹
LCM(54178,54196) = 1468115444