What is the Least Common Multiple of 81680 and 81690?

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 81690 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 81690, than apply into the LCM equation.

GCF(81680,81690) = 10
LCM(81680,81690) = ( 81680 × 81690) / 10
LCM(81680,81690) = 6672439200 / 10
LCM(81680,81690) = 667243920

Least Common Multiple (LCM) of 81680 and 81690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81680 and 81690. First we will calculate the prime factors of 81680 and 81690.

Prime Factorization of 81680

Prime Factorization of 81690

Now multiplying the highest exponent prime factors to calculate the LCM of 81680 and 81690.

LCM(81680,81690) = 2⁴ × 5¹ × 1021¹ × 3¹ × 7¹ × 389¹
LCM(81680,81690) = 667243920