What is the Least Common Multiple of 73705 and 73711?

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 73705 and 73711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73705 and 73711, than apply into the LCM equation.

GCF(73705,73711) = 1
LCM(73705,73711) = ( 73705 × 73711) / 1
LCM(73705,73711) = 5432869255 / 1
LCM(73705,73711) = 5432869255

Least Common Multiple (LCM) of 73705 and 73711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73705 and 73711. First we will calculate the prime factors of 73705 and 73711.

Prime Factorization of 73705

Prime Factorization of 73711

Now multiplying the highest exponent prime factors to calculate the LCM of 73705 and 73711.

LCM(73705,73711) = 5¹ × 14741¹ × 11¹ × 6701¹
LCM(73705,73711) = 5432869255