What is the Least Common Multiple of 6945 and 6954?

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 6954 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 6954, than apply into the LCM equation.

GCF(6945,6954) = 3
LCM(6945,6954) = ( 6945 × 6954) / 3
LCM(6945,6954) = 48295530 / 3
LCM(6945,6954) = 16098510

Least Common Multiple (LCM) of 6945 and 6954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6945 and 6954. First we will calculate the prime factors of 6945 and 6954.

Prime Factorization of 6945

Prime Factorization of 6954

Now multiplying the highest exponent prime factors to calculate the LCM of 6945 and 6954.

LCM(6945,6954) = 3¹ × 5¹ × 463¹ × 2¹ × 19¹ × 61¹
LCM(6945,6954) = 16098510