What is the Least Common Multiple of 65967 and 65978?

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 65967 and 65978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65967 and 65978, than apply into the LCM equation.

GCF(65967,65978) = 11
LCM(65967,65978) = ( 65967 × 65978) / 11
LCM(65967,65978) = 4352370726 / 11
LCM(65967,65978) = 395670066

Least Common Multiple (LCM) of 65967 and 65978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65967 and 65978. First we will calculate the prime factors of 65967 and 65978.

Prime Factorization of 65967

Prime Factorization of 65978

Now multiplying the highest exponent prime factors to calculate the LCM of 65967 and 65978.

LCM(65967,65978) = 3¹ × 11¹ × 1999¹ × 2¹ × 2999¹
LCM(65967,65978) = 395670066