What is the Least Common Multiple of 28690 and 28709?

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 28690 and 28709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28690 and 28709, than apply into the LCM equation.

GCF(28690,28709) = 19
LCM(28690,28709) = ( 28690 × 28709) / 19
LCM(28690,28709) = 823661210 / 19
LCM(28690,28709) = 43350590

Least Common Multiple (LCM) of 28690 and 28709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28690 and 28709. First we will calculate the prime factors of 28690 and 28709.

Prime Factorization of 28690

Prime Factorization of 28709

Now multiplying the highest exponent prime factors to calculate the LCM of 28690 and 28709.

LCM(28690,28709) = 2¹ × 5¹ × 19¹ × 151¹ × 1511¹
LCM(28690,28709) = 43350590