What is the Least Common Multiple of 29978 and 29991?

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 29978 and 29991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29978 and 29991, than apply into the LCM equation.

GCF(29978,29991) = 13
LCM(29978,29991) = ( 29978 × 29991) / 13
LCM(29978,29991) = 899070198 / 13
LCM(29978,29991) = 69159246

Least Common Multiple (LCM) of 29978 and 29991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29978 and 29991. First we will calculate the prime factors of 29978 and 29991.

Prime Factorization of 29978

Prime Factorization of 29991

Now multiplying the highest exponent prime factors to calculate the LCM of 29978 and 29991.

LCM(29978,29991) = 2¹ × 13¹ × 1153¹ × 3¹ × 769¹
LCM(29978,29991) = 69159246