What is the Least Common Multiple of 2954 and 2965?

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 2965 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 2965, than apply into the LCM equation.

GCF(2954,2965) = 1
LCM(2954,2965) = ( 2954 × 2965) / 1
LCM(2954,2965) = 8758610 / 1
LCM(2954,2965) = 8758610

Least Common Multiple (LCM) of 2954 and 2965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2954 and 2965. First we will calculate the prime factors of 2954 and 2965.

Prime Factorization of 2954

Prime Factorization of 2965

Now multiplying the highest exponent prime factors to calculate the LCM of 2954 and 2965.

LCM(2954,2965) = 2¹ × 7¹ × 211¹ × 5¹ × 593¹
LCM(2954,2965) = 8758610