What is the Least Common Multiple of 35985 and 35998?

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 35985 and 35998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35985 and 35998, than apply into the LCM equation.

GCF(35985,35998) = 1
LCM(35985,35998) = ( 35985 × 35998) / 1
LCM(35985,35998) = 1295388030 / 1
LCM(35985,35998) = 1295388030

Least Common Multiple (LCM) of 35985 and 35998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35985 and 35998. First we will calculate the prime factors of 35985 and 35998.

Prime Factorization of 35985

Prime Factorization of 35998

Now multiplying the highest exponent prime factors to calculate the LCM of 35985 and 35998.

LCM(35985,35998) = 3¹ × 5¹ × 2399¹ × 2¹ × 41¹ × 439¹
LCM(35985,35998) = 1295388030