What is the Least Common Multiple of 74120 and 74140?

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 74120 and 74140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74120 and 74140, than apply into the LCM equation.

GCF(74120,74140) = 20
LCM(74120,74140) = ( 74120 × 74140) / 20
LCM(74120,74140) = 5495256800 / 20
LCM(74120,74140) = 274762840

Least Common Multiple (LCM) of 74120 and 74140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74120 and 74140. First we will calculate the prime factors of 74120 and 74140.

Prime Factorization of 74120

Prime Factorization of 74140

Now multiplying the highest exponent prime factors to calculate the LCM of 74120 and 74140.

LCM(74120,74140) = 2³ × 5¹ × 17¹ × 109¹ × 11¹ × 337¹
LCM(74120,74140) = 274762840