What is the Least Common Multiple of 2980 and 2993?

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 2980 and 2993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2980 and 2993, than apply into the LCM equation.

GCF(2980,2993) = 1
LCM(2980,2993) = ( 2980 × 2993) / 1
LCM(2980,2993) = 8919140 / 1
LCM(2980,2993) = 8919140

Least Common Multiple (LCM) of 2980 and 2993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2980 and 2993. First we will calculate the prime factors of 2980 and 2993.

Prime Factorization of 2980

Prime Factorization of 2993

Now multiplying the highest exponent prime factors to calculate the LCM of 2980 and 2993.

LCM(2980,2993) = 2² × 5¹ × 149¹ × 41¹ × 73¹
LCM(2980,2993) = 8919140