What is the Least Common Multiple of 2954 and 2969?

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 2954 and 2969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2954 and 2969, than apply into the LCM equation.

GCF(2954,2969) = 1
LCM(2954,2969) = ( 2954 × 2969) / 1
LCM(2954,2969) = 8770426 / 1
LCM(2954,2969) = 8770426

Least Common Multiple (LCM) of 2954 and 2969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2954 and 2969. First we will calculate the prime factors of 2954 and 2969.

Prime Factorization of 2954

Prime Factorization of 2969

Now multiplying the highest exponent prime factors to calculate the LCM of 2954 and 2969.

LCM(2954,2969) = 2¹ × 7¹ × 211¹ × 2969¹
LCM(2954,2969) = 8770426