What is the Least Common Multiple of 6945 and 6965?

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 6945 and 6965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6945 and 6965, than apply into the LCM equation.

GCF(6945,6965) = 5
LCM(6945,6965) = ( 6945 × 6965) / 5
LCM(6945,6965) = 48371925 / 5
LCM(6945,6965) = 9674385

Least Common Multiple (LCM) of 6945 and 6965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6945 and 6965. First we will calculate the prime factors of 6945 and 6965.

Prime Factorization of 6945

Prime Factorization of 6965

Now multiplying the highest exponent prime factors to calculate the LCM of 6945 and 6965.

LCM(6945,6965) = 3¹ × 5¹ × 463¹ × 7¹ × 199¹
LCM(6945,6965) = 9674385