What is the Least Common Multiple of 92815 and 92830?

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 92815 and 92830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92815 and 92830, than apply into the LCM equation.

GCF(92815,92830) = 5
LCM(92815,92830) = ( 92815 × 92830) / 5
LCM(92815,92830) = 8616016450 / 5
LCM(92815,92830) = 1723203290

Least Common Multiple (LCM) of 92815 and 92830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92815 and 92830. First we will calculate the prime factors of 92815 and 92830.

Prime Factorization of 92815

Prime Factorization of 92830

Now multiplying the highest exponent prime factors to calculate the LCM of 92815 and 92830.

LCM(92815,92830) = 5¹ × 19¹ × 977¹ × 2¹ × 9283¹
LCM(92815,92830) = 1723203290