What is the Least Common Multiple of 5970 and 5990?

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 5970 and 5990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5970 and 5990, than apply into the LCM equation.

GCF(5970,5990) = 10
LCM(5970,5990) = ( 5970 × 5990) / 10
LCM(5970,5990) = 35760300 / 10
LCM(5970,5990) = 3576030

Least Common Multiple (LCM) of 5970 and 5990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5970 and 5990. First we will calculate the prime factors of 5970 and 5990.

Prime Factorization of 5970

Prime Factorization of 5990

Now multiplying the highest exponent prime factors to calculate the LCM of 5970 and 5990.

LCM(5970,5990) = 2¹ × 3¹ × 5¹ × 199¹ × 599¹
LCM(5970,5990) = 3576030