What is the Least Common Multiple of 26980 and 26999?

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 26980 and 26999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26980 and 26999, than apply into the LCM equation.

GCF(26980,26999) = 19
LCM(26980,26999) = ( 26980 × 26999) / 19
LCM(26980,26999) = 728433020 / 19
LCM(26980,26999) = 38338580

Least Common Multiple (LCM) of 26980 and 26999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26980 and 26999. First we will calculate the prime factors of 26980 and 26999.

Prime Factorization of 26980

Prime Factorization of 26999

Now multiplying the highest exponent prime factors to calculate the LCM of 26980 and 26999.

LCM(26980,26999) = 2² × 5¹ × 19¹ × 71¹ × 7² × 29¹
LCM(26980,26999) = 38338580