What is the Least Common Multiple of 69976 and 69996?

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 69976 and 69996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69976 and 69996, than apply into the LCM equation.

GCF(69976,69996) = 4
LCM(69976,69996) = ( 69976 × 69996) / 4
LCM(69976,69996) = 4898040096 / 4
LCM(69976,69996) = 1224510024

Least Common Multiple (LCM) of 69976 and 69996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69976 and 69996. First we will calculate the prime factors of 69976 and 69996.

Prime Factorization of 69976

Prime Factorization of 69996

Now multiplying the highest exponent prime factors to calculate the LCM of 69976 and 69996.

LCM(69976,69996) = 2³ × 8747¹ × 3¹ × 19¹ × 307¹
LCM(69976,69996) = 1224510024