What is the Least Common Multiple of 73709 and 73726?

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 73709 and 73726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73709 and 73726, than apply into the LCM equation.

GCF(73709,73726) = 1
LCM(73709,73726) = ( 73709 × 73726) / 1
LCM(73709,73726) = 5434269734 / 1
LCM(73709,73726) = 5434269734

Least Common Multiple (LCM) of 73709 and 73726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73709 and 73726. First we will calculate the prime factors of 73709 and 73726.

Prime Factorization of 73709

Prime Factorization of 73726

Now multiplying the highest exponent prime factors to calculate the LCM of 73709 and 73726.

LCM(73709,73726) = 73709¹ × 2¹ × 191¹ × 193¹
LCM(73709,73726) = 5434269734