What is the Least Common Multiple of 61814 and 61822?

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 61814 and 61822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61814 and 61822, than apply into the LCM equation.

GCF(61814,61822) = 2
LCM(61814,61822) = ( 61814 × 61822) / 2
LCM(61814,61822) = 3821465108 / 2
LCM(61814,61822) = 1910732554

Least Common Multiple (LCM) of 61814 and 61822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61814 and 61822. First we will calculate the prime factors of 61814 and 61822.

Prime Factorization of 61814

Prime Factorization of 61822

Now multiplying the highest exponent prime factors to calculate the LCM of 61814 and 61822.

LCM(61814,61822) = 2¹ × 31¹ × 997¹ × 30911¹
LCM(61814,61822) = 1910732554