What is the Least Common Multiple of 26978 and 26985?

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 26978 and 26985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26978 and 26985, than apply into the LCM equation.

GCF(26978,26985) = 7
LCM(26978,26985) = ( 26978 × 26985) / 7
LCM(26978,26985) = 728001330 / 7
LCM(26978,26985) = 104000190

Least Common Multiple (LCM) of 26978 and 26985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26978 and 26985. First we will calculate the prime factors of 26978 and 26985.

Prime Factorization of 26978

Prime Factorization of 26985

Now multiplying the highest exponent prime factors to calculate the LCM of 26978 and 26985.

LCM(26978,26985) = 2¹ × 7¹ × 41¹ × 47¹ × 3¹ × 5¹ × 257¹
LCM(26978,26985) = 104000190