What is the Least Common Multiple of 92820 and 92836?

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 92836 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 92836, than apply into the LCM equation.

GCF(92820,92836) = 4
LCM(92820,92836) = ( 92820 × 92836) / 4
LCM(92820,92836) = 8617037520 / 4
LCM(92820,92836) = 2154259380

Least Common Multiple (LCM) of 92820 and 92836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92820 and 92836. First we will calculate the prime factors of 92820 and 92836.

Prime Factorization of 92820

Prime Factorization of 92836

Now multiplying the highest exponent prime factors to calculate the LCM of 92820 and 92836.

LCM(92820,92836) = 2² × 3¹ × 5¹ × 7¹ × 13¹ × 17¹ × 23209¹
LCM(92820,92836) = 2154259380