What is the Least Common Multiple of 6940 and 6960?

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 6940 and 6960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6940 and 6960, than apply into the LCM equation.

GCF(6940,6960) = 20
LCM(6940,6960) = ( 6940 × 6960) / 20
LCM(6940,6960) = 48302400 / 20
LCM(6940,6960) = 2415120

Least Common Multiple (LCM) of 6940 and 6960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6940 and 6960. First we will calculate the prime factors of 6940 and 6960.

Prime Factorization of 6940

Prime Factorization of 6960

Now multiplying the highest exponent prime factors to calculate the LCM of 6940 and 6960.

LCM(6940,6960) = 2⁴ × 5¹ × 347¹ × 3¹ × 29¹
LCM(6940,6960) = 2415120