What is the Least Common Multiple of 81680 and 81693?

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 81680 and 81693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81680 and 81693, than apply into the LCM equation.

GCF(81680,81693) = 1
LCM(81680,81693) = ( 81680 × 81693) / 1
LCM(81680,81693) = 6672684240 / 1
LCM(81680,81693) = 6672684240

Least Common Multiple (LCM) of 81680 and 81693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81680 and 81693. First we will calculate the prime factors of 81680 and 81693.

Prime Factorization of 81680

Prime Factorization of 81693

Now multiplying the highest exponent prime factors to calculate the LCM of 81680 and 81693.

LCM(81680,81693) = 2⁴ × 5¹ × 1021¹ × 3² × 29¹ × 313¹
LCM(81680,81693) = 6672684240