What is the Least Common Multiple of 74120 and 74139?

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 74139 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 74139, than apply into the LCM equation.

GCF(74120,74139) = 1
LCM(74120,74139) = ( 74120 × 74139) / 1
LCM(74120,74139) = 5495182680 / 1
LCM(74120,74139) = 5495182680

Least Common Multiple (LCM) of 74120 and 74139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74120 and 74139. First we will calculate the prime factors of 74120 and 74139.

Prime Factorization of 74120

Prime Factorization of 74139

Now multiplying the highest exponent prime factors to calculate the LCM of 74120 and 74139.

LCM(74120,74139) = 2³ × 5¹ × 17¹ × 109¹ × 3¹ × 13¹ × 1901¹
LCM(74120,74139) = 5495182680