What is the Least Common Multiple of 39970 and 39985?

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 39970 and 39985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39970 and 39985, than apply into the LCM equation.

GCF(39970,39985) = 5
LCM(39970,39985) = ( 39970 × 39985) / 5
LCM(39970,39985) = 1598200450 / 5
LCM(39970,39985) = 319640090

Least Common Multiple (LCM) of 39970 and 39985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39970 and 39985. First we will calculate the prime factors of 39970 and 39985.

Prime Factorization of 39970

Prime Factorization of 39985

Now multiplying the highest exponent prime factors to calculate the LCM of 39970 and 39985.

LCM(39970,39985) = 2¹ × 5¹ × 7¹ × 571¹ × 11¹ × 727¹
LCM(39970,39985) = 319640090