What is the Least Common Multiple of 36015 and 36023?

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 36015 and 36023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36015 and 36023, than apply into the LCM equation.

GCF(36015,36023) = 1
LCM(36015,36023) = ( 36015 × 36023) / 1
LCM(36015,36023) = 1297368345 / 1
LCM(36015,36023) = 1297368345

Least Common Multiple (LCM) of 36015 and 36023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36015 and 36023. First we will calculate the prime factors of 36015 and 36023.

Prime Factorization of 36015

Prime Factorization of 36023

Now multiplying the highest exponent prime factors to calculate the LCM of 36015 and 36023.

LCM(36015,36023) = 3¹ × 5¹ × 7⁴ × 13¹ × 17¹ × 163¹
LCM(36015,36023) = 1297368345