What is the Least Common Multiple of 28046 and 28059?

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 28046 and 28059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28046 and 28059, than apply into the LCM equation.

GCF(28046,28059) = 1
LCM(28046,28059) = ( 28046 × 28059) / 1
LCM(28046,28059) = 786942714 / 1
LCM(28046,28059) = 786942714

Least Common Multiple (LCM) of 28046 and 28059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28046 and 28059. First we will calculate the prime factors of 28046 and 28059.

Prime Factorization of 28046

Prime Factorization of 28059

Now multiplying the highest exponent prime factors to calculate the LCM of 28046 and 28059.

LCM(28046,28059) = 2¹ × 37¹ × 379¹ × 3¹ × 47¹ × 199¹
LCM(28046,28059) = 786942714