What is the Least Common Multiple of 6900 and 6920?

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 6900 and 6920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6900 and 6920, than apply into the LCM equation.

GCF(6900,6920) = 20
LCM(6900,6920) = ( 6900 × 6920) / 20
LCM(6900,6920) = 47748000 / 20
LCM(6900,6920) = 2387400

Least Common Multiple (LCM) of 6900 and 6920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6900 and 6920. First we will calculate the prime factors of 6900 and 6920.

Prime Factorization of 6900

Prime Factorization of 6920

Now multiplying the highest exponent prime factors to calculate the LCM of 6900 and 6920.

LCM(6900,6920) = 2³ × 3¹ × 5² × 23¹ × 173¹
LCM(6900,6920) = 2387400