What is the Least Common Multiple of 67968 and 67978?

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 67968 and 67978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67968 and 67978, than apply into the LCM equation.

GCF(67968,67978) = 2
LCM(67968,67978) = ( 67968 × 67978) / 2
LCM(67968,67978) = 4620328704 / 2
LCM(67968,67978) = 2310164352

Least Common Multiple (LCM) of 67968 and 67978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67968 and 67978. First we will calculate the prime factors of 67968 and 67978.

Prime Factorization of 67968

Prime Factorization of 67978

Now multiplying the highest exponent prime factors to calculate the LCM of 67968 and 67978.

LCM(67968,67978) = 2⁷ × 3² × 59¹ × 41¹ × 829¹
LCM(67968,67978) = 2310164352