What is the Least Common Multiple of 53270 and 53280?

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 53270 and 53280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53270 and 53280, than apply into the LCM equation.

GCF(53270,53280) = 10
LCM(53270,53280) = ( 53270 × 53280) / 10
LCM(53270,53280) = 2838225600 / 10
LCM(53270,53280) = 283822560

Least Common Multiple (LCM) of 53270 and 53280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53270 and 53280. First we will calculate the prime factors of 53270 and 53280.

Prime Factorization of 53270

Prime Factorization of 53280

Now multiplying the highest exponent prime factors to calculate the LCM of 53270 and 53280.

LCM(53270,53280) = 2⁵ × 5¹ × 7¹ × 761¹ × 3² × 37¹
LCM(53270,53280) = 283822560