What is the Least Common Multiple of 26940 and 26945?

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 26945 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 26945, than apply into the LCM equation.

GCF(26940,26945) = 5
LCM(26940,26945) = ( 26940 × 26945) / 5
LCM(26940,26945) = 725898300 / 5
LCM(26940,26945) = 145179660

Least Common Multiple (LCM) of 26940 and 26945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26940 and 26945. First we will calculate the prime factors of 26940 and 26945.

Prime Factorization of 26940

Prime Factorization of 26945

Now multiplying the highest exponent prime factors to calculate the LCM of 26940 and 26945.

LCM(26940,26945) = 2² × 3¹ × 5¹ × 449¹ × 17¹ × 317¹
LCM(26940,26945) = 145179660