What is the Least Common Multiple of 71795 and 71802?

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 71795 and 71802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71795 and 71802, than apply into the LCM equation.

GCF(71795,71802) = 1
LCM(71795,71802) = ( 71795 × 71802) / 1
LCM(71795,71802) = 5155024590 / 1
LCM(71795,71802) = 5155024590

Least Common Multiple (LCM) of 71795 and 71802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71795 and 71802. First we will calculate the prime factors of 71795 and 71802.

Prime Factorization of 71795

Prime Factorization of 71802

Now multiplying the highest exponent prime factors to calculate the LCM of 71795 and 71802.

LCM(71795,71802) = 5¹ × 83¹ × 173¹ × 2¹ × 3² × 3989¹
LCM(71795,71802) = 5155024590