What is the Least Common Multiple of 81214 and 81220?

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 81214 and 81220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81214 and 81220, than apply into the LCM equation.

GCF(81214,81220) = 2
LCM(81214,81220) = ( 81214 × 81220) / 2
LCM(81214,81220) = 6596201080 / 2
LCM(81214,81220) = 3298100540

Least Common Multiple (LCM) of 81214 and 81220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81214 and 81220. First we will calculate the prime factors of 81214 and 81220.

Prime Factorization of 81214

Prime Factorization of 81220

Now multiplying the highest exponent prime factors to calculate the LCM of 81214 and 81220.

LCM(81214,81220) = 2² × 7¹ × 5801¹ × 5¹ × 31¹ × 131¹
LCM(81214,81220) = 3298100540