What is the Least Common Multiple of 42795 and 42802?

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 42795 and 42802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42795 and 42802, than apply into the LCM equation.

GCF(42795,42802) = 1
LCM(42795,42802) = ( 42795 × 42802) / 1
LCM(42795,42802) = 1831711590 / 1
LCM(42795,42802) = 1831711590

Least Common Multiple (LCM) of 42795 and 42802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42795 and 42802. First we will calculate the prime factors of 42795 and 42802.

Prime Factorization of 42795

Prime Factorization of 42802

Now multiplying the highest exponent prime factors to calculate the LCM of 42795 and 42802.

LCM(42795,42802) = 3³ × 5¹ × 317¹ × 2¹ × 21401¹
LCM(42795,42802) = 1831711590