What is the Least Common Multiple of 30260 and 30278?

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 30260 and 30278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30260 and 30278, than apply into the LCM equation.

GCF(30260,30278) = 2
LCM(30260,30278) = ( 30260 × 30278) / 2
LCM(30260,30278) = 916212280 / 2
LCM(30260,30278) = 458106140

Least Common Multiple (LCM) of 30260 and 30278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30260 and 30278. First we will calculate the prime factors of 30260 and 30278.

Prime Factorization of 30260

Prime Factorization of 30278

Now multiplying the highest exponent prime factors to calculate the LCM of 30260 and 30278.

LCM(30260,30278) = 2² × 5¹ × 17¹ × 89¹ × 15139¹
LCM(30260,30278) = 458106140