What is the Least Common Multiple of 92380 and 92390?

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 92390 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 92390, than apply into the LCM equation.

GCF(92380,92390) = 10
LCM(92380,92390) = ( 92380 × 92390) / 10
LCM(92380,92390) = 8534988200 / 10
LCM(92380,92390) = 853498820

Least Common Multiple (LCM) of 92380 and 92390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92380 and 92390. First we will calculate the prime factors of 92380 and 92390.

Prime Factorization of 92380

Prime Factorization of 92390

Now multiplying the highest exponent prime factors to calculate the LCM of 92380 and 92390.

LCM(92380,92390) = 2² × 5¹ × 31¹ × 149¹ × 9239¹
LCM(92380,92390) = 853498820