What is the Least Common Multiple of 61209 and 61221?

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 61209 and 61221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61209 and 61221, than apply into the LCM equation.

GCF(61209,61221) = 3
LCM(61209,61221) = ( 61209 × 61221) / 3
LCM(61209,61221) = 3747276189 / 3
LCM(61209,61221) = 1249092063

Least Common Multiple (LCM) of 61209 and 61221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61209 and 61221. First we will calculate the prime factors of 61209 and 61221.

Prime Factorization of 61209

Prime Factorization of 61221

Now multiplying the highest exponent prime factors to calculate the LCM of 61209 and 61221.

LCM(61209,61221) = 3³ × 2267¹ × 20407¹
LCM(61209,61221) = 1249092063