What is the Least Common Multiple of 69928 and 69945?

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 69928 and 69945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69928 and 69945, than apply into the LCM equation.

GCF(69928,69945) = 1
LCM(69928,69945) = ( 69928 × 69945) / 1
LCM(69928,69945) = 4891113960 / 1
LCM(69928,69945) = 4891113960

Least Common Multiple (LCM) of 69928 and 69945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69928 and 69945. First we will calculate the prime factors of 69928 and 69945.

Prime Factorization of 69928

Prime Factorization of 69945

Now multiplying the highest exponent prime factors to calculate the LCM of 69928 and 69945.

LCM(69928,69945) = 2³ × 8741¹ × 3¹ × 5¹ × 4663¹
LCM(69928,69945) = 4891113960