What is the Least Common Multiple of 53180 and 53184?

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 53180 and 53184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53180 and 53184, than apply into the LCM equation.

GCF(53180,53184) = 4
LCM(53180,53184) = ( 53180 × 53184) / 4
LCM(53180,53184) = 2828325120 / 4
LCM(53180,53184) = 707081280

Least Common Multiple (LCM) of 53180 and 53184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53180 and 53184. First we will calculate the prime factors of 53180 and 53184.

Prime Factorization of 53180

Prime Factorization of 53184

Now multiplying the highest exponent prime factors to calculate the LCM of 53180 and 53184.

LCM(53180,53184) = 2⁶ × 5¹ × 2659¹ × 3¹ × 277¹
LCM(53180,53184) = 707081280