What is the Least Common Multiple of 42759 and 42763?

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 42759 and 42763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42759 and 42763, than apply into the LCM equation.

GCF(42759,42763) = 1
LCM(42759,42763) = ( 42759 × 42763) / 1
LCM(42759,42763) = 1828503117 / 1
LCM(42759,42763) = 1828503117

Least Common Multiple (LCM) of 42759 and 42763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42759 and 42763. First we will calculate the prime factors of 42759 and 42763.

Prime Factorization of 42759

Prime Factorization of 42763

Now multiplying the highest exponent prime factors to calculate the LCM of 42759 and 42763.

LCM(42759,42763) = 3² × 4751¹ × 7¹ × 41¹ × 149¹
LCM(42759,42763) = 1828503117