What is the Least Common Multiple of 60809 and 60820?

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 60809 and 60820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60809 and 60820, than apply into the LCM equation.

GCF(60809,60820) = 1
LCM(60809,60820) = ( 60809 × 60820) / 1
LCM(60809,60820) = 3698403380 / 1
LCM(60809,60820) = 3698403380

Least Common Multiple (LCM) of 60809 and 60820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60809 and 60820. First we will calculate the prime factors of 60809 and 60820.

Prime Factorization of 60809

Prime Factorization of 60820

Now multiplying the highest exponent prime factors to calculate the LCM of 60809 and 60820.

LCM(60809,60820) = 7² × 17¹ × 73¹ × 2² × 5¹ × 3041¹
LCM(60809,60820) = 3698403380