What is the Least Common Multiple of 92795 and 92802?

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 92795 and 92802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92795 and 92802, than apply into the LCM equation.

GCF(92795,92802) = 1
LCM(92795,92802) = ( 92795 × 92802) / 1
LCM(92795,92802) = 8611561590 / 1
LCM(92795,92802) = 8611561590

Least Common Multiple (LCM) of 92795 and 92802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92795 and 92802. First we will calculate the prime factors of 92795 and 92802.

Prime Factorization of 92795

Prime Factorization of 92802

Now multiplying the highest exponent prime factors to calculate the LCM of 92795 and 92802.

LCM(92795,92802) = 5¹ × 67¹ × 277¹ × 2¹ × 3¹ × 15467¹
LCM(92795,92802) = 8611561590