What is the Least Common Multiple of 74140 and 74160?

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 74140 and 74160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74140 and 74160, than apply into the LCM equation.

GCF(74140,74160) = 20
LCM(74140,74160) = ( 74140 × 74160) / 20
LCM(74140,74160) = 5498222400 / 20
LCM(74140,74160) = 274911120

Least Common Multiple (LCM) of 74140 and 74160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74140 and 74160. First we will calculate the prime factors of 74140 and 74160.

Prime Factorization of 74140

Prime Factorization of 74160

Now multiplying the highest exponent prime factors to calculate the LCM of 74140 and 74160.

LCM(74140,74160) = 2⁴ × 5¹ × 11¹ × 337¹ × 3² × 103¹
LCM(74140,74160) = 274911120