What is the Least Common Multiple of 69732 and 69745?

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 69732 and 69745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69732 and 69745, than apply into the LCM equation.

GCF(69732,69745) = 13
LCM(69732,69745) = ( 69732 × 69745) / 13
LCM(69732,69745) = 4863458340 / 13
LCM(69732,69745) = 374112180

Least Common Multiple (LCM) of 69732 and 69745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69732 and 69745. First we will calculate the prime factors of 69732 and 69745.

Prime Factorization of 69732

Prime Factorization of 69745

Now multiplying the highest exponent prime factors to calculate the LCM of 69732 and 69745.

LCM(69732,69745) = 2² × 3² × 13¹ × 149¹ × 5¹ × 29¹ × 37¹
LCM(69732,69745) = 374112180