What is the Least Common Multiple of 57209 and 57220?

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 57209 and 57220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57209 and 57220, than apply into the LCM equation.

GCF(57209,57220) = 1
LCM(57209,57220) = ( 57209 × 57220) / 1
LCM(57209,57220) = 3273498980 / 1
LCM(57209,57220) = 3273498980

Least Common Multiple (LCM) of 57209 and 57220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57209 and 57220. First we will calculate the prime factors of 57209 and 57220.

Prime Factorization of 57209

Prime Factorization of 57220

Now multiplying the highest exponent prime factors to calculate the LCM of 57209 and 57220.

LCM(57209,57220) = 19¹ × 3011¹ × 2² × 5¹ × 2861¹
LCM(57209,57220) = 3273498980