What is the Least Common Multiple of 81739 and 81748?

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 81739 and 81748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81739 and 81748, than apply into the LCM equation.

GCF(81739,81748) = 1
LCM(81739,81748) = ( 81739 × 81748) / 1
LCM(81739,81748) = 6681999772 / 1
LCM(81739,81748) = 6681999772

Least Common Multiple (LCM) of 81739 and 81748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81739 and 81748. First we will calculate the prime factors of 81739 and 81748.

Prime Factorization of 81739

Prime Factorization of 81748

Now multiplying the highest exponent prime factors to calculate the LCM of 81739 and 81748.

LCM(81739,81748) = 7¹ × 11677¹ × 2² × 107¹ × 191¹
LCM(81739,81748) = 6681999772