What is the Least Common Multiple of 60814 and 60834?

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 60814 and 60834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60814 and 60834, than apply into the LCM equation.

GCF(60814,60834) = 2
LCM(60814,60834) = ( 60814 × 60834) / 2
LCM(60814,60834) = 3699558876 / 2
LCM(60814,60834) = 1849779438

Least Common Multiple (LCM) of 60814 and 60834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60814 and 60834. First we will calculate the prime factors of 60814 and 60834.

Prime Factorization of 60814

Prime Factorization of 60834

Now multiplying the highest exponent prime factors to calculate the LCM of 60814 and 60834.

LCM(60814,60834) = 2¹ × 13¹ × 2339¹ × 3¹ × 10139¹
LCM(60814,60834) = 1849779438