What is the Least Common Multiple of 26880 and 26892?

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 26880 and 26892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26880 and 26892, than apply into the LCM equation.

GCF(26880,26892) = 12
LCM(26880,26892) = ( 26880 × 26892) / 12
LCM(26880,26892) = 722856960 / 12
LCM(26880,26892) = 60238080

Least Common Multiple (LCM) of 26880 and 26892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26880 and 26892. First we will calculate the prime factors of 26880 and 26892.

Prime Factorization of 26880

Prime Factorization of 26892

Now multiplying the highest exponent prime factors to calculate the LCM of 26880 and 26892.

LCM(26880,26892) = 2⁸ × 3⁴ × 5¹ × 7¹ × 83¹
LCM(26880,26892) = 60238080