What is the Least Common Multiple of 97990 and 97995?

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 97990 and 97995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97990 and 97995, than apply into the LCM equation.

GCF(97990,97995) = 5
LCM(97990,97995) = ( 97990 × 97995) / 5
LCM(97990,97995) = 9602530050 / 5
LCM(97990,97995) = 1920506010

Least Common Multiple (LCM) of 97990 and 97995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97990 and 97995. First we will calculate the prime factors of 97990 and 97995.

Prime Factorization of 97990

Prime Factorization of 97995

Now multiplying the highest exponent prime factors to calculate the LCM of 97990 and 97995.

LCM(97990,97995) = 2¹ × 5¹ × 41¹ × 239¹ × 3¹ × 47¹ × 139¹
LCM(97990,97995) = 1920506010