What is the Least Common Multiple of 30945 and 30954?

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 30945 and 30954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30945 and 30954, than apply into the LCM equation.

GCF(30945,30954) = 3
LCM(30945,30954) = ( 30945 × 30954) / 3
LCM(30945,30954) = 957871530 / 3
LCM(30945,30954) = 319290510

Least Common Multiple (LCM) of 30945 and 30954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30945 and 30954. First we will calculate the prime factors of 30945 and 30954.

Prime Factorization of 30945

Prime Factorization of 30954

Now multiplying the highest exponent prime factors to calculate the LCM of 30945 and 30954.

LCM(30945,30954) = 3¹ × 5¹ × 2063¹ × 2¹ × 7¹ × 11¹ × 67¹
LCM(30945,30954) = 319290510