What is the Least Common Multiple of 36020 and 36038?

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 36020 and 36038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36020 and 36038, than apply into the LCM equation.

GCF(36020,36038) = 2
LCM(36020,36038) = ( 36020 × 36038) / 2
LCM(36020,36038) = 1298088760 / 2
LCM(36020,36038) = 649044380

Least Common Multiple (LCM) of 36020 and 36038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36020 and 36038. First we will calculate the prime factors of 36020 and 36038.

Prime Factorization of 36020

Prime Factorization of 36038

Now multiplying the highest exponent prime factors to calculate the LCM of 36020 and 36038.

LCM(36020,36038) = 2² × 5¹ × 1801¹ × 37¹ × 487¹
LCM(36020,36038) = 649044380