What is the Least Common Multiple of 69948 and 69965?

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 69948 and 69965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69948 and 69965, than apply into the LCM equation.

GCF(69948,69965) = 1
LCM(69948,69965) = ( 69948 × 69965) / 1
LCM(69948,69965) = 4893911820 / 1
LCM(69948,69965) = 4893911820

Least Common Multiple (LCM) of 69948 and 69965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69948 and 69965. First we will calculate the prime factors of 69948 and 69965.

Prime Factorization of 69948

Prime Factorization of 69965

Now multiplying the highest exponent prime factors to calculate the LCM of 69948 and 69965.

LCM(69948,69965) = 2² × 3² × 29¹ × 67¹ × 5¹ × 7¹ × 1999¹
LCM(69948,69965) = 4893911820