What is the Least Common Multiple of 27906 and 27920?

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 27906 and 27920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27906 and 27920, than apply into the LCM equation.

GCF(27906,27920) = 2
LCM(27906,27920) = ( 27906 × 27920) / 2
LCM(27906,27920) = 779135520 / 2
LCM(27906,27920) = 389567760

Least Common Multiple (LCM) of 27906 and 27920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27906 and 27920. First we will calculate the prime factors of 27906 and 27920.

Prime Factorization of 27906

Prime Factorization of 27920

Now multiplying the highest exponent prime factors to calculate the LCM of 27906 and 27920.

LCM(27906,27920) = 2⁴ × 3¹ × 4651¹ × 5¹ × 349¹
LCM(27906,27920) = 389567760