What is the Least Common Multiple of 725 and 730?

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 725 and 730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 725 and 730, than apply into the LCM equation.

GCF(725,730) = 5
LCM(725,730) = ( 725 × 730) / 5
LCM(725,730) = 529250 / 5
LCM(725,730) = 105850

Least Common Multiple (LCM) of 725 and 730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 730. First we will calculate the prime factors of 725 and 730.

Prime Factorization of 725

Prime Factorization of 730

Now multiplying the highest exponent prime factors to calculate the LCM of 725 and 730.

LCM(725,730) = 5² × 29¹ × 2¹ × 73¹
LCM(725,730) = 105850