What is the Least Common Multiple of 63178 and 63196?

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 63178 and 63196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63178 and 63196, than apply into the LCM equation.

GCF(63178,63196) = 2
LCM(63178,63196) = ( 63178 × 63196) / 2
LCM(63178,63196) = 3992596888 / 2
LCM(63178,63196) = 1996298444

Least Common Multiple (LCM) of 63178 and 63196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63178 and 63196. First we will calculate the prime factors of 63178 and 63196.

Prime Factorization of 63178

Prime Factorization of 63196

Now multiplying the highest exponent prime factors to calculate the LCM of 63178 and 63196.

LCM(63178,63196) = 2² × 31¹ × 1019¹ × 7¹ × 37¹ × 61¹
LCM(63178,63196) = 1996298444