What is the Least Common Multiple of 81394 and 81410?

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 81394 and 81410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81394 and 81410, than apply into the LCM equation.

GCF(81394,81410) = 2
LCM(81394,81410) = ( 81394 × 81410) / 2
LCM(81394,81410) = 6626285540 / 2
LCM(81394,81410) = 3313142770

Least Common Multiple (LCM) of 81394 and 81410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81394 and 81410. First we will calculate the prime factors of 81394 and 81410.

Prime Factorization of 81394

Prime Factorization of 81410

Now multiplying the highest exponent prime factors to calculate the LCM of 81394 and 81410.

LCM(81394,81410) = 2¹ × 40697¹ × 5¹ × 7¹ × 1163¹
LCM(81394,81410) = 3313142770