What is the Least Common Multiple of 28080 and 28092?

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 28080 and 28092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28080 and 28092, than apply into the LCM equation.

GCF(28080,28092) = 12
LCM(28080,28092) = ( 28080 × 28092) / 12
LCM(28080,28092) = 788823360 / 12
LCM(28080,28092) = 65735280

Least Common Multiple (LCM) of 28080 and 28092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28080 and 28092. First we will calculate the prime factors of 28080 and 28092.

Prime Factorization of 28080

Prime Factorization of 28092

Now multiplying the highest exponent prime factors to calculate the LCM of 28080 and 28092.

LCM(28080,28092) = 2⁴ × 3³ × 5¹ × 13¹ × 2341¹
LCM(28080,28092) = 65735280