What is the Least Common Multiple of 92380 and 92398?

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 92380 and 92398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92380 and 92398, than apply into the LCM equation.

GCF(92380,92398) = 2
LCM(92380,92398) = ( 92380 × 92398) / 2
LCM(92380,92398) = 8535727240 / 2
LCM(92380,92398) = 4267863620

Least Common Multiple (LCM) of 92380 and 92398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92380 and 92398. First we will calculate the prime factors of 92380 and 92398.

Prime Factorization of 92380

Prime Factorization of 92398

Now multiplying the highest exponent prime factors to calculate the LCM of 92380 and 92398.

LCM(92380,92398) = 2² × 5¹ × 31¹ × 149¹ × 46199¹
LCM(92380,92398) = 4267863620