What is the Least Common Multiple of 29892 and 29907?

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 29892 and 29907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29892 and 29907, than apply into the LCM equation.

GCF(29892,29907) = 3
LCM(29892,29907) = ( 29892 × 29907) / 3
LCM(29892,29907) = 893980044 / 3
LCM(29892,29907) = 297993348

Least Common Multiple (LCM) of 29892 and 29907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29892 and 29907. First we will calculate the prime factors of 29892 and 29907.

Prime Factorization of 29892

Prime Factorization of 29907

Now multiplying the highest exponent prime factors to calculate the LCM of 29892 and 29907.

LCM(29892,29907) = 2² × 3² × 47¹ × 53¹ × 3323¹
LCM(29892,29907) = 297993348