What is the Least Common Multiple of 92820 and 92839?

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 92820 and 92839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92820 and 92839, than apply into the LCM equation.

GCF(92820,92839) = 1
LCM(92820,92839) = ( 92820 × 92839) / 1
LCM(92820,92839) = 8617315980 / 1
LCM(92820,92839) = 8617315980

Least Common Multiple (LCM) of 92820 and 92839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92820 and 92839. First we will calculate the prime factors of 92820 and 92839.

Prime Factorization of 92820

Prime Factorization of 92839

Now multiplying the highest exponent prime factors to calculate the LCM of 92820 and 92839.

LCM(92820,92839) = 2² × 3¹ × 5¹ × 7¹ × 13¹ × 17¹ × 263¹ × 353¹
LCM(92820,92839) = 8617315980