What is the Least Common Multiple of 60800 and 60818?

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 60800 and 60818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60800 and 60818, than apply into the LCM equation.

GCF(60800,60818) = 2
LCM(60800,60818) = ( 60800 × 60818) / 2
LCM(60800,60818) = 3697734400 / 2
LCM(60800,60818) = 1848867200

Least Common Multiple (LCM) of 60800 and 60818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60800 and 60818. First we will calculate the prime factors of 60800 and 60818.

Prime Factorization of 60800

Prime Factorization of 60818

Now multiplying the highest exponent prime factors to calculate the LCM of 60800 and 60818.

LCM(60800,60818) = 2⁷ × 5² × 19¹ × 47¹ × 647¹
LCM(60800,60818) = 1848867200