What is the Least Common Multiple of 67996 and 68014?

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 67996 and 68014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67996 and 68014, than apply into the LCM equation.

GCF(67996,68014) = 2
LCM(67996,68014) = ( 67996 × 68014) / 2
LCM(67996,68014) = 4624679944 / 2
LCM(67996,68014) = 2312339972

Least Common Multiple (LCM) of 67996 and 68014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67996 and 68014. First we will calculate the prime factors of 67996 and 68014.

Prime Factorization of 67996

Prime Factorization of 68014

Now multiplying the highest exponent prime factors to calculate the LCM of 67996 and 68014.

LCM(67996,68014) = 2² × 89¹ × 191¹ × 31¹ × 1097¹
LCM(67996,68014) = 2312339972