What is the Least Common Multiple of 67178 and 67196?

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 67178 and 67196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67178 and 67196, than apply into the LCM equation.

GCF(67178,67196) = 2
LCM(67178,67196) = ( 67178 × 67196) / 2
LCM(67178,67196) = 4514092888 / 2
LCM(67178,67196) = 2257046444

Least Common Multiple (LCM) of 67178 and 67196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67178 and 67196. First we will calculate the prime factors of 67178 and 67196.

Prime Factorization of 67178

Prime Factorization of 67196

Now multiplying the highest exponent prime factors to calculate the LCM of 67178 and 67196.

LCM(67178,67196) = 2² × 33589¹ × 107¹ × 157¹
LCM(67178,67196) = 2257046444