What is the Least Common Multiple of 35980 and 35985?

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 35980 and 35985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35980 and 35985, than apply into the LCM equation.

GCF(35980,35985) = 5
LCM(35980,35985) = ( 35980 × 35985) / 5
LCM(35980,35985) = 1294740300 / 5
LCM(35980,35985) = 258948060

Least Common Multiple (LCM) of 35980 and 35985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35980 and 35985. First we will calculate the prime factors of 35980 and 35985.

Prime Factorization of 35980

Prime Factorization of 35985

Now multiplying the highest exponent prime factors to calculate the LCM of 35980 and 35985.

LCM(35980,35985) = 2² × 5¹ × 7¹ × 257¹ × 3¹ × 2399¹
LCM(35980,35985) = 258948060