What is the Least Common Multiple of 71970 and 71990?

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 71970 and 71990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71970 and 71990, than apply into the LCM equation.

GCF(71970,71990) = 10
LCM(71970,71990) = ( 71970 × 71990) / 10
LCM(71970,71990) = 5181120300 / 10
LCM(71970,71990) = 518112030

Least Common Multiple (LCM) of 71970 and 71990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71970 and 71990. First we will calculate the prime factors of 71970 and 71990.

Prime Factorization of 71970

Prime Factorization of 71990

Now multiplying the highest exponent prime factors to calculate the LCM of 71970 and 71990.

LCM(71970,71990) = 2¹ × 3¹ × 5¹ × 2399¹ × 23¹ × 313¹
LCM(71970,71990) = 518112030