What is the Least Common Multiple of 61782 and 61802?

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 61782 and 61802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61782 and 61802, than apply into the LCM equation.

GCF(61782,61802) = 2
LCM(61782,61802) = ( 61782 × 61802) / 2
LCM(61782,61802) = 3818251164 / 2
LCM(61782,61802) = 1909125582

Least Common Multiple (LCM) of 61782 and 61802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61782 and 61802. First we will calculate the prime factors of 61782 and 61802.

Prime Factorization of 61782

Prime Factorization of 61802

Now multiplying the highest exponent prime factors to calculate the LCM of 61782 and 61802.

LCM(61782,61802) = 2¹ × 3¹ × 7¹ × 1471¹ × 13¹ × 2377¹
LCM(61782,61802) = 1909125582