What is the Least Common Multiple of 26940 and 26960?

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 26940 and 26960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26940 and 26960, than apply into the LCM equation.

GCF(26940,26960) = 20
LCM(26940,26960) = ( 26940 × 26960) / 20
LCM(26940,26960) = 726302400 / 20
LCM(26940,26960) = 36315120

Least Common Multiple (LCM) of 26940 and 26960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26940 and 26960. First we will calculate the prime factors of 26940 and 26960.

Prime Factorization of 26940

Prime Factorization of 26960

Now multiplying the highest exponent prime factors to calculate the LCM of 26940 and 26960.

LCM(26940,26960) = 2⁴ × 3¹ × 5¹ × 449¹ × 337¹
LCM(26940,26960) = 36315120