What is the Least Common Multiple of 63210 and 63221?

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 63210 and 63221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63210 and 63221, than apply into the LCM equation.

GCF(63210,63221) = 1
LCM(63210,63221) = ( 63210 × 63221) / 1
LCM(63210,63221) = 3996199410 / 1
LCM(63210,63221) = 3996199410

Least Common Multiple (LCM) of 63210 and 63221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63210 and 63221. First we will calculate the prime factors of 63210 and 63221.

Prime Factorization of 63210

Prime Factorization of 63221

Now multiplying the highest exponent prime factors to calculate the LCM of 63210 and 63221.

LCM(63210,63221) = 2¹ × 3¹ × 5¹ × 7² × 43¹ × 191¹ × 331¹
LCM(63210,63221) = 3996199410