What is the Least Common Multiple of 11785 and 11802?

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 11785 and 11802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11785 and 11802, than apply into the LCM equation.

GCF(11785,11802) = 1
LCM(11785,11802) = ( 11785 × 11802) / 1
LCM(11785,11802) = 139086570 / 1
LCM(11785,11802) = 139086570

Least Common Multiple (LCM) of 11785 and 11802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11785 and 11802. First we will calculate the prime factors of 11785 and 11802.

Prime Factorization of 11785

Prime Factorization of 11802

Now multiplying the highest exponent prime factors to calculate the LCM of 11785 and 11802.

LCM(11785,11802) = 5¹ × 2357¹ × 2¹ × 3¹ × 7¹ × 281¹
LCM(11785,11802) = 139086570