What is the Least Common Multiple of 70720 and 70725?

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 70720 and 70725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70720 and 70725, than apply into the LCM equation.

GCF(70720,70725) = 5
LCM(70720,70725) = ( 70720 × 70725) / 5
LCM(70720,70725) = 5001672000 / 5
LCM(70720,70725) = 1000334400

Least Common Multiple (LCM) of 70720 and 70725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70720 and 70725. First we will calculate the prime factors of 70720 and 70725.

Prime Factorization of 70720

Prime Factorization of 70725

Now multiplying the highest exponent prime factors to calculate the LCM of 70720 and 70725.

LCM(70720,70725) = 2⁶ × 5² × 13¹ × 17¹ × 3¹ × 23¹ × 41¹
LCM(70720,70725) = 1000334400