What is the Least Common Multiple of 91380 and 91398?

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 91380 and 91398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91380 and 91398, than apply into the LCM equation.

GCF(91380,91398) = 6
LCM(91380,91398) = ( 91380 × 91398) / 6
LCM(91380,91398) = 8351949240 / 6
LCM(91380,91398) = 1391991540

Least Common Multiple (LCM) of 91380 and 91398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91380 and 91398. First we will calculate the prime factors of 91380 and 91398.

Prime Factorization of 91380

Prime Factorization of 91398

Now multiplying the highest exponent prime factors to calculate the LCM of 91380 and 91398.

LCM(91380,91398) = 2² × 3¹ × 5¹ × 1523¹ × 15233¹
LCM(91380,91398) = 1391991540