What is the Least Common Multiple of 69720 and 69740?

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 69720 and 69740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69720 and 69740, than apply into the LCM equation.

GCF(69720,69740) = 20
LCM(69720,69740) = ( 69720 × 69740) / 20
LCM(69720,69740) = 4862272800 / 20
LCM(69720,69740) = 243113640

Least Common Multiple (LCM) of 69720 and 69740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69720 and 69740. First we will calculate the prime factors of 69720 and 69740.

Prime Factorization of 69720

Prime Factorization of 69740

Now multiplying the highest exponent prime factors to calculate the LCM of 69720 and 69740.

LCM(69720,69740) = 2³ × 3¹ × 5¹ × 7¹ × 83¹ × 11¹ × 317¹
LCM(69720,69740) = 243113640