What is the Least Common Multiple of 36860 and 36873?

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 36860 and 36873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36860 and 36873, than apply into the LCM equation.

GCF(36860,36873) = 1
LCM(36860,36873) = ( 36860 × 36873) / 1
LCM(36860,36873) = 1359138780 / 1
LCM(36860,36873) = 1359138780

Least Common Multiple (LCM) of 36860 and 36873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36860 and 36873. First we will calculate the prime factors of 36860 and 36873.

Prime Factorization of 36860

Prime Factorization of 36873

Now multiplying the highest exponent prime factors to calculate the LCM of 36860 and 36873.

LCM(36860,36873) = 2² × 5¹ × 19¹ × 97¹ × 3² × 17¹ × 241¹
LCM(36860,36873) = 1359138780