What is the Least Common Multiple of 47968 and 47978?

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 47968 and 47978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47968 and 47978, than apply into the LCM equation.

GCF(47968,47978) = 2
LCM(47968,47978) = ( 47968 × 47978) / 2
LCM(47968,47978) = 2301408704 / 2
LCM(47968,47978) = 1150704352

Least Common Multiple (LCM) of 47968 and 47978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47968 and 47978. First we will calculate the prime factors of 47968 and 47978.

Prime Factorization of 47968

Prime Factorization of 47978

Now multiplying the highest exponent prime factors to calculate the LCM of 47968 and 47978.

LCM(47968,47978) = 2⁵ × 1499¹ × 7¹ × 23¹ × 149¹
LCM(47968,47978) = 1150704352