What is the Least Common Multiple of 26985 and 26992?

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 26985 and 26992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26985 and 26992, than apply into the LCM equation.

GCF(26985,26992) = 7
LCM(26985,26992) = ( 26985 × 26992) / 7
LCM(26985,26992) = 728379120 / 7
LCM(26985,26992) = 104054160

Least Common Multiple (LCM) of 26985 and 26992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26985 and 26992. First we will calculate the prime factors of 26985 and 26992.

Prime Factorization of 26985

Prime Factorization of 26992

Now multiplying the highest exponent prime factors to calculate the LCM of 26985 and 26992.

LCM(26985,26992) = 3¹ × 5¹ × 7¹ × 257¹ × 2⁴ × 241¹
LCM(26985,26992) = 104054160