What is the Least Common Multiple of 53120 and 53140?

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 53120 and 53140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53120 and 53140, than apply into the LCM equation.

GCF(53120,53140) = 20
LCM(53120,53140) = ( 53120 × 53140) / 20
LCM(53120,53140) = 2822796800 / 20
LCM(53120,53140) = 141139840

Least Common Multiple (LCM) of 53120 and 53140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53120 and 53140. First we will calculate the prime factors of 53120 and 53140.

Prime Factorization of 53120

Prime Factorization of 53140

Now multiplying the highest exponent prime factors to calculate the LCM of 53120 and 53140.

LCM(53120,53140) = 2⁷ × 5¹ × 83¹ × 2657¹
LCM(53120,53140) = 141139840