What is the Least Common Multiple of 71968 and 71978?

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 71968 and 71978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71968 and 71978, than apply into the LCM equation.

GCF(71968,71978) = 2
LCM(71968,71978) = ( 71968 × 71978) / 2
LCM(71968,71978) = 5180112704 / 2
LCM(71968,71978) = 2590056352

Least Common Multiple (LCM) of 71968 and 71978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71968 and 71978. First we will calculate the prime factors of 71968 and 71978.

Prime Factorization of 71968

Prime Factorization of 71978

Now multiplying the highest exponent prime factors to calculate the LCM of 71968 and 71978.

LCM(71968,71978) = 2⁵ × 13¹ × 173¹ × 17¹ × 29¹ × 73¹
LCM(71968,71978) = 2590056352