What is the Least Common Multiple of 36270 and 36290?

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 36270 and 36290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36270 and 36290, than apply into the LCM equation.

GCF(36270,36290) = 10
LCM(36270,36290) = ( 36270 × 36290) / 10
LCM(36270,36290) = 1316238300 / 10
LCM(36270,36290) = 131623830

Least Common Multiple (LCM) of 36270 and 36290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36270 and 36290. First we will calculate the prime factors of 36270 and 36290.

Prime Factorization of 36270

Prime Factorization of 36290

Now multiplying the highest exponent prime factors to calculate the LCM of 36270 and 36290.

LCM(36270,36290) = 2¹ × 3² × 5¹ × 13¹ × 31¹ × 19¹ × 191¹
LCM(36270,36290) = 131623830