What is the Least Common Multiple of 31977 and 31995?

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 31977 and 31995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31977 and 31995, than apply into the LCM equation.

GCF(31977,31995) = 9
LCM(31977,31995) = ( 31977 × 31995) / 9
LCM(31977,31995) = 1023104115 / 9
LCM(31977,31995) = 113678235

Least Common Multiple (LCM) of 31977 and 31995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31977 and 31995. First we will calculate the prime factors of 31977 and 31995.

Prime Factorization of 31977

Prime Factorization of 31995

Now multiplying the highest exponent prime factors to calculate the LCM of 31977 and 31995.

LCM(31977,31995) = 3⁴ × 11¹ × 17¹ × 19¹ × 5¹ × 79¹
LCM(31977,31995) = 113678235