What is the Least Common Multiple of 35030 and 35048?

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 35030 and 35048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35030 and 35048, than apply into the LCM equation.

GCF(35030,35048) = 2
LCM(35030,35048) = ( 35030 × 35048) / 2
LCM(35030,35048) = 1227731440 / 2
LCM(35030,35048) = 613865720

Least Common Multiple (LCM) of 35030 and 35048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35030 and 35048. First we will calculate the prime factors of 35030 and 35048.

Prime Factorization of 35030

Prime Factorization of 35048

Now multiplying the highest exponent prime factors to calculate the LCM of 35030 and 35048.

LCM(35030,35048) = 2³ × 5¹ × 31¹ × 113¹ × 13¹ × 337¹
LCM(35030,35048) = 613865720