What is the Least Common Multiple of 61842 and 61862?

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 61842 and 61862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61842 and 61862, than apply into the LCM equation.

GCF(61842,61862) = 2
LCM(61842,61862) = ( 61842 × 61862) / 2
LCM(61842,61862) = 3825669804 / 2
LCM(61842,61862) = 1912834902

Least Common Multiple (LCM) of 61842 and 61862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61842 and 61862. First we will calculate the prime factors of 61842 and 61862.

Prime Factorization of 61842

Prime Factorization of 61862

Now multiplying the highest exponent prime factors to calculate the LCM of 61842 and 61862.

LCM(61842,61862) = 2¹ × 3¹ × 11¹ × 937¹ × 30931¹
LCM(61842,61862) = 1912834902