What is the Least Common Multiple of 92892 and 92901?

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 92892 and 92901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92892 and 92901, than apply into the LCM equation.

GCF(92892,92901) = 3
LCM(92892,92901) = ( 92892 × 92901) / 3
LCM(92892,92901) = 8629759692 / 3
LCM(92892,92901) = 2876586564

Least Common Multiple (LCM) of 92892 and 92901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92892 and 92901. First we will calculate the prime factors of 92892 and 92901.

Prime Factorization of 92892

Prime Factorization of 92901

Now multiplying the highest exponent prime factors to calculate the LCM of 92892 and 92901.

LCM(92892,92901) = 2² × 3¹ × 7741¹ × 173¹ × 179¹
LCM(92892,92901) = 2876586564