What is the Least Common Multiple of 6920 and 6935?

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 6920 and 6935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6920 and 6935, than apply into the LCM equation.

GCF(6920,6935) = 5
LCM(6920,6935) = ( 6920 × 6935) / 5
LCM(6920,6935) = 47990200 / 5
LCM(6920,6935) = 9598040

Least Common Multiple (LCM) of 6920 and 6935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6920 and 6935. First we will calculate the prime factors of 6920 and 6935.

Prime Factorization of 6920

Prime Factorization of 6935

Now multiplying the highest exponent prime factors to calculate the LCM of 6920 and 6935.

LCM(6920,6935) = 2³ × 5¹ × 173¹ × 19¹ × 73¹
LCM(6920,6935) = 9598040