What is the Least Common Multiple of 2945 and 2964?

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 2945 and 2964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2945 and 2964, than apply into the LCM equation.

GCF(2945,2964) = 19
LCM(2945,2964) = ( 2945 × 2964) / 19
LCM(2945,2964) = 8728980 / 19
LCM(2945,2964) = 459420

Least Common Multiple (LCM) of 2945 and 2964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2945 and 2964. First we will calculate the prime factors of 2945 and 2964.

Prime Factorization of 2945

Prime Factorization of 2964

Now multiplying the highest exponent prime factors to calculate the LCM of 2945 and 2964.

LCM(2945,2964) = 5¹ × 19¹ × 31¹ × 2² × 3¹ × 13¹
LCM(2945,2964) = 459420