What is the Least Common Multiple of 67860 and 67870?

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 67860 and 67870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67860 and 67870, than apply into the LCM equation.

GCF(67860,67870) = 10
LCM(67860,67870) = ( 67860 × 67870) / 10
LCM(67860,67870) = 4605658200 / 10
LCM(67860,67870) = 460565820

Least Common Multiple (LCM) of 67860 and 67870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67860 and 67870. First we will calculate the prime factors of 67860 and 67870.

Prime Factorization of 67860

Prime Factorization of 67870

Now multiplying the highest exponent prime factors to calculate the LCM of 67860 and 67870.

LCM(67860,67870) = 2² × 3² × 5¹ × 13¹ × 29¹ × 11¹ × 617¹
LCM(67860,67870) = 460565820