What is the Least Common Multiple of 60834 and 60840?

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 60834 and 60840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60834 and 60840, than apply into the LCM equation.

GCF(60834,60840) = 6
LCM(60834,60840) = ( 60834 × 60840) / 6
LCM(60834,60840) = 3701140560 / 6
LCM(60834,60840) = 616856760

Least Common Multiple (LCM) of 60834 and 60840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60834 and 60840. First we will calculate the prime factors of 60834 and 60840.

Prime Factorization of 60834

Prime Factorization of 60840

Now multiplying the highest exponent prime factors to calculate the LCM of 60834 and 60840.

LCM(60834,60840) = 2³ × 3² × 10139¹ × 5¹ × 13²
LCM(60834,60840) = 616856760