What is the Least Common Multiple of 39785 and 39802?

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 39785 and 39802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39785 and 39802, than apply into the LCM equation.

GCF(39785,39802) = 1
LCM(39785,39802) = ( 39785 × 39802) / 1
LCM(39785,39802) = 1583522570 / 1
LCM(39785,39802) = 1583522570

Least Common Multiple (LCM) of 39785 and 39802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39785 and 39802. First we will calculate the prime factors of 39785 and 39802.

Prime Factorization of 39785

Prime Factorization of 39802

Now multiplying the highest exponent prime factors to calculate the LCM of 39785 and 39802.

LCM(39785,39802) = 5¹ × 73¹ × 109¹ × 2¹ × 7¹ × 2843¹
LCM(39785,39802) = 1583522570