What is the Least Common Multiple of 83970 and 83990?

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 83970 and 83990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83970 and 83990, than apply into the LCM equation.

GCF(83970,83990) = 10
LCM(83970,83990) = ( 83970 × 83990) / 10
LCM(83970,83990) = 7052640300 / 10
LCM(83970,83990) = 705264030

Least Common Multiple (LCM) of 83970 and 83990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83970 and 83990. First we will calculate the prime factors of 83970 and 83990.

Prime Factorization of 83970

Prime Factorization of 83990

Now multiplying the highest exponent prime factors to calculate the LCM of 83970 and 83990.

LCM(83970,83990) = 2¹ × 3³ × 5¹ × 311¹ × 37¹ × 227¹
LCM(83970,83990) = 705264030