What is the Least Common Multiple of 92820 and 92835?

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 92835 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 92835, than apply into the LCM equation.

GCF(92820,92835) = 15
LCM(92820,92835) = ( 92820 × 92835) / 15
LCM(92820,92835) = 8616944700 / 15
LCM(92820,92835) = 574462980

Least Common Multiple (LCM) of 92820 and 92835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92820 and 92835. First we will calculate the prime factors of 92820 and 92835.

Prime Factorization of 92820

Prime Factorization of 92835

Now multiplying the highest exponent prime factors to calculate the LCM of 92820 and 92835.

LCM(92820,92835) = 2² × 3² × 5¹ × 7¹ × 13¹ × 17¹ × 2063¹
LCM(92820,92835) = 574462980