What is the Least Common Multiple of 42789 and 42801?

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 42789 and 42801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42789 and 42801, than apply into the LCM equation.

GCF(42789,42801) = 3
LCM(42789,42801) = ( 42789 × 42801) / 3
LCM(42789,42801) = 1831411989 / 3
LCM(42789,42801) = 610470663

Least Common Multiple (LCM) of 42789 and 42801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42789 and 42801. First we will calculate the prime factors of 42789 and 42801.

Prime Factorization of 42789

Prime Factorization of 42801

Now multiplying the highest exponent prime factors to calculate the LCM of 42789 and 42801.

LCM(42789,42801) = 3¹ × 17¹ × 839¹ × 11¹ × 1297¹
LCM(42789,42801) = 610470663