What is the Least Common Multiple of 80710 and 80726?

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 80710 and 80726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80710 and 80726, than apply into the LCM equation.

GCF(80710,80726) = 2
LCM(80710,80726) = ( 80710 × 80726) / 2
LCM(80710,80726) = 6515395460 / 2
LCM(80710,80726) = 3257697730

Least Common Multiple (LCM) of 80710 and 80726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80710 and 80726. First we will calculate the prime factors of 80710 and 80726.

Prime Factorization of 80710

Prime Factorization of 80726

Now multiplying the highest exponent prime factors to calculate the LCM of 80710 and 80726.

LCM(80710,80726) = 2¹ × 5¹ × 7¹ × 1153¹ × 181¹ × 223¹
LCM(80710,80726) = 3257697730