What is the Least Common Multiple of 69924 and 69930?

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 69924 and 69930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69924 and 69930, than apply into the LCM equation.

GCF(69924,69930) = 6
LCM(69924,69930) = ( 69924 × 69930) / 6
LCM(69924,69930) = 4889785320 / 6
LCM(69924,69930) = 814964220

Least Common Multiple (LCM) of 69924 and 69930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69924 and 69930. First we will calculate the prime factors of 69924 and 69930.

Prime Factorization of 69924

Prime Factorization of 69930

Now multiplying the highest exponent prime factors to calculate the LCM of 69924 and 69930.

LCM(69924,69930) = 2² × 3³ × 5827¹ × 5¹ × 7¹ × 37¹
LCM(69924,69930) = 814964220