What is the Least Common Multiple of 81690 and 81708?

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 81690 and 81708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81690 and 81708, than apply into the LCM equation.

GCF(81690,81708) = 6
LCM(81690,81708) = ( 81690 × 81708) / 6
LCM(81690,81708) = 6674726520 / 6
LCM(81690,81708) = 1112454420

Least Common Multiple (LCM) of 81690 and 81708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81690 and 81708. First we will calculate the prime factors of 81690 and 81708.

Prime Factorization of 81690

Prime Factorization of 81708

Now multiplying the highest exponent prime factors to calculate the LCM of 81690 and 81708.

LCM(81690,81708) = 2² × 3¹ × 5¹ × 7¹ × 389¹ × 11¹ × 619¹
LCM(81690,81708) = 1112454420