What is the Least Common Multiple of 92235 and 92248?

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 92235 and 92248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92235 and 92248, than apply into the LCM equation.

GCF(92235,92248) = 13
LCM(92235,92248) = ( 92235 × 92248) / 13
LCM(92235,92248) = 8508494280 / 13
LCM(92235,92248) = 654499560

Least Common Multiple (LCM) of 92235 and 92248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92235 and 92248. First we will calculate the prime factors of 92235 and 92248.

Prime Factorization of 92235

Prime Factorization of 92248

Now multiplying the highest exponent prime factors to calculate the LCM of 92235 and 92248.

LCM(92235,92248) = 3¹ × 5¹ × 11¹ × 13¹ × 43¹ × 2³ × 887¹
LCM(92235,92248) = 654499560