What is the Least Common Multiple of 90350 and 90369?

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 90350 and 90369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90350 and 90369, than apply into the LCM equation.

GCF(90350,90369) = 1
LCM(90350,90369) = ( 90350 × 90369) / 1
LCM(90350,90369) = 8164839150 / 1
LCM(90350,90369) = 8164839150

Least Common Multiple (LCM) of 90350 and 90369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90350 and 90369. First we will calculate the prime factors of 90350 and 90369.

Prime Factorization of 90350

Prime Factorization of 90369

Now multiplying the highest exponent prime factors to calculate the LCM of 90350 and 90369.

LCM(90350,90369) = 2¹ × 5² × 13¹ × 139¹ × 3³ × 3347¹
LCM(90350,90369) = 8164839150