What is the Least Common Multiple of 61814 and 61830?

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 61830 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 61830, than apply into the LCM equation.

GCF(61814,61830) = 2
LCM(61814,61830) = ( 61814 × 61830) / 2
LCM(61814,61830) = 3821959620 / 2
LCM(61814,61830) = 1910979810

Least Common Multiple (LCM) of 61814 and 61830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61814 and 61830. First we will calculate the prime factors of 61814 and 61830.

Prime Factorization of 61814

Prime Factorization of 61830

Now multiplying the highest exponent prime factors to calculate the LCM of 61814 and 61830.

LCM(61814,61830) = 2¹ × 31¹ × 997¹ × 3³ × 5¹ × 229¹
LCM(61814,61830) = 1910979810