What is the Least Common Multiple of 37986 and 37995?

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 37986 and 37995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37986 and 37995, than apply into the LCM equation.

GCF(37986,37995) = 3
LCM(37986,37995) = ( 37986 × 37995) / 3
LCM(37986,37995) = 1443278070 / 3
LCM(37986,37995) = 481092690

Least Common Multiple (LCM) of 37986 and 37995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37986 and 37995. First we will calculate the prime factors of 37986 and 37995.

Prime Factorization of 37986

Prime Factorization of 37995

Now multiplying the highest exponent prime factors to calculate the LCM of 37986 and 37995.

LCM(37986,37995) = 2¹ × 3¹ × 13¹ × 487¹ × 5¹ × 17¹ × 149¹
LCM(37986,37995) = 481092690