What is the Least Common Multiple of 36030 and 36035?

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 36030 and 36035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36030 and 36035, than apply into the LCM equation.

GCF(36030,36035) = 5
LCM(36030,36035) = ( 36030 × 36035) / 5
LCM(36030,36035) = 1298341050 / 5
LCM(36030,36035) = 259668210

Least Common Multiple (LCM) of 36030 and 36035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36030 and 36035. First we will calculate the prime factors of 36030 and 36035.

Prime Factorization of 36030

Prime Factorization of 36035

Now multiplying the highest exponent prime factors to calculate the LCM of 36030 and 36035.

LCM(36030,36035) = 2¹ × 3¹ × 5¹ × 1201¹ × 7207¹
LCM(36030,36035) = 259668210