What is the Least Common Multiple of 27840 and 27860?

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 27840 and 27860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27840 and 27860, than apply into the LCM equation.

GCF(27840,27860) = 20
LCM(27840,27860) = ( 27840 × 27860) / 20
LCM(27840,27860) = 775622400 / 20
LCM(27840,27860) = 38781120

Least Common Multiple (LCM) of 27840 and 27860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27840 and 27860. First we will calculate the prime factors of 27840 and 27860.

Prime Factorization of 27840

Prime Factorization of 27860

Now multiplying the highest exponent prime factors to calculate the LCM of 27840 and 27860.

LCM(27840,27860) = 2⁶ × 3¹ × 5¹ × 29¹ × 7¹ × 199¹
LCM(27840,27860) = 38781120