What is the Least Common Multiple of 2980 and 2992?

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 2992 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 2992, than apply into the LCM equation.

GCF(2980,2992) = 4
LCM(2980,2992) = ( 2980 × 2992) / 4
LCM(2980,2992) = 8916160 / 4
LCM(2980,2992) = 2229040

Least Common Multiple (LCM) of 2980 and 2992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2980 and 2992. First we will calculate the prime factors of 2980 and 2992.

Prime Factorization of 2980

Prime Factorization of 2992

Now multiplying the highest exponent prime factors to calculate the LCM of 2980 and 2992.

LCM(2980,2992) = 2⁴ × 5¹ × 149¹ × 11¹ × 17¹
LCM(2980,2992) = 2229040