What is the Least Common Multiple of 67210 and 67221?

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 67210 and 67221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67210 and 67221, than apply into the LCM equation.

GCF(67210,67221) = 11
LCM(67210,67221) = ( 67210 × 67221) / 11
LCM(67210,67221) = 4517923410 / 11
LCM(67210,67221) = 410720310

Least Common Multiple (LCM) of 67210 and 67221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67210 and 67221. First we will calculate the prime factors of 67210 and 67221.

Prime Factorization of 67210

Prime Factorization of 67221

Now multiplying the highest exponent prime factors to calculate the LCM of 67210 and 67221.

LCM(67210,67221) = 2¹ × 5¹ × 11¹ × 13¹ × 47¹ × 3² × 7¹ × 97¹
LCM(67210,67221) = 410720310