What is the Least Common Multiple of 6900 and 6919?

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 6919 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 6919, than apply into the LCM equation.

GCF(6900,6919) = 1
LCM(6900,6919) = ( 6900 × 6919) / 1
LCM(6900,6919) = 47741100 / 1
LCM(6900,6919) = 47741100

Least Common Multiple (LCM) of 6900 and 6919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6900 and 6919. First we will calculate the prime factors of 6900 and 6919.

Prime Factorization of 6900

Prime Factorization of 6919

Now multiplying the highest exponent prime factors to calculate the LCM of 6900 and 6919.

LCM(6900,6919) = 2² × 3¹ × 5² × 23¹ × 11¹ × 17¹ × 37¹
LCM(6900,6919) = 47741100