What is the Least Common Multiple of 29968 and 29978?

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 29968 and 29978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29968 and 29978, than apply into the LCM equation.

GCF(29968,29978) = 2
LCM(29968,29978) = ( 29968 × 29978) / 2
LCM(29968,29978) = 898380704 / 2
LCM(29968,29978) = 449190352

Least Common Multiple (LCM) of 29968 and 29978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29968 and 29978. First we will calculate the prime factors of 29968 and 29978.

Prime Factorization of 29968

Prime Factorization of 29978

Now multiplying the highest exponent prime factors to calculate the LCM of 29968 and 29978.

LCM(29968,29978) = 2⁴ × 1873¹ × 13¹ × 1153¹
LCM(29968,29978) = 449190352