What is the Least Common Multiple of 36860 and 36874?

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 36874 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 36874, than apply into the LCM equation.

GCF(36860,36874) = 2
LCM(36860,36874) = ( 36860 × 36874) / 2
LCM(36860,36874) = 1359175640 / 2
LCM(36860,36874) = 679587820

Least Common Multiple (LCM) of 36860 and 36874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36860 and 36874. First we will calculate the prime factors of 36860 and 36874.

Prime Factorization of 36860

Prime Factorization of 36874

Now multiplying the highest exponent prime factors to calculate the LCM of 36860 and 36874.

LCM(36860,36874) = 2² × 5¹ × 19¹ × 97¹ × 103¹ × 179¹
LCM(36860,36874) = 679587820