What is the Least Common Multiple of 81220 and 81239?

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 81220 and 81239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81220 and 81239, than apply into the LCM equation.

GCF(81220,81239) = 1
LCM(81220,81239) = ( 81220 × 81239) / 1
LCM(81220,81239) = 6598231580 / 1
LCM(81220,81239) = 6598231580

Least Common Multiple (LCM) of 81220 and 81239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81220 and 81239. First we will calculate the prime factors of 81220 and 81239.

Prime Factorization of 81220

Prime Factorization of 81239

Now multiplying the highest exponent prime factors to calculate the LCM of 81220 and 81239.

LCM(81220,81239) = 2² × 5¹ × 31¹ × 131¹ × 81239¹
LCM(81220,81239) = 6598231580