What is the Least Common Multiple of 27969 and 27978?

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 27969 and 27978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27969 and 27978, than apply into the LCM equation.

GCF(27969,27978) = 3
LCM(27969,27978) = ( 27969 × 27978) / 3
LCM(27969,27978) = 782516682 / 3
LCM(27969,27978) = 260838894

Least Common Multiple (LCM) of 27969 and 27978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27969 and 27978. First we will calculate the prime factors of 27969 and 27978.

Prime Factorization of 27969

Prime Factorization of 27978

Now multiplying the highest exponent prime factors to calculate the LCM of 27969 and 27978.

LCM(27969,27978) = 3¹ × 9323¹ × 2¹ × 4663¹
LCM(27969,27978) = 260838894