What is the Least Common Multiple of 22970 and 22990?

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 22970 and 22990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22970 and 22990, than apply into the LCM equation.

GCF(22970,22990) = 10
LCM(22970,22990) = ( 22970 × 22990) / 10
LCM(22970,22990) = 528080300 / 10
LCM(22970,22990) = 52808030

Least Common Multiple (LCM) of 22970 and 22990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22970 and 22990. First we will calculate the prime factors of 22970 and 22990.

Prime Factorization of 22970

Prime Factorization of 22990

Now multiplying the highest exponent prime factors to calculate the LCM of 22970 and 22990.

LCM(22970,22990) = 2¹ × 5¹ × 2297¹ × 11² × 19¹
LCM(22970,22990) = 52808030