What is the Least Common Multiple of 82210 and 82214?

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 82210 and 82214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82210 and 82214, than apply into the LCM equation.

GCF(82210,82214) = 2
LCM(82210,82214) = ( 82210 × 82214) / 2
LCM(82210,82214) = 6758812940 / 2
LCM(82210,82214) = 3379406470

Least Common Multiple (LCM) of 82210 and 82214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82210 and 82214. First we will calculate the prime factors of 82210 and 82214.

Prime Factorization of 82210

Prime Factorization of 82214

Now multiplying the highest exponent prime factors to calculate the LCM of 82210 and 82214.

LCM(82210,82214) = 2¹ × 5¹ × 8221¹ × 11¹ × 37¹ × 101¹
LCM(82210,82214) = 3379406470