What is the Least Common Multiple of 92365 and 92370?

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 92365 and 92370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92365 and 92370, than apply into the LCM equation.

GCF(92365,92370) = 5
LCM(92365,92370) = ( 92365 × 92370) / 5
LCM(92365,92370) = 8531755050 / 5
LCM(92365,92370) = 1706351010

Least Common Multiple (LCM) of 92365 and 92370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92365 and 92370. First we will calculate the prime factors of 92365 and 92370.

Prime Factorization of 92365

Prime Factorization of 92370

Now multiplying the highest exponent prime factors to calculate the LCM of 92365 and 92370.

LCM(92365,92370) = 5¹ × 7² × 13¹ × 29¹ × 2¹ × 3¹ × 3079¹
LCM(92365,92370) = 1706351010