What is the Least Common Multiple of 30256 and 30270?

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 30256 and 30270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30256 and 30270, than apply into the LCM equation.

GCF(30256,30270) = 2
LCM(30256,30270) = ( 30256 × 30270) / 2
LCM(30256,30270) = 915849120 / 2
LCM(30256,30270) = 457924560

Least Common Multiple (LCM) of 30256 and 30270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30256 and 30270. First we will calculate the prime factors of 30256 and 30270.

Prime Factorization of 30256

Prime Factorization of 30270

Now multiplying the highest exponent prime factors to calculate the LCM of 30256 and 30270.

LCM(30256,30270) = 2⁴ × 31¹ × 61¹ × 3¹ × 5¹ × 1009¹
LCM(30256,30270) = 457924560