What is the Least Common Multiple of 74936 and 74947?

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 74936 and 74947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74936 and 74947, than apply into the LCM equation.

GCF(74936,74947) = 1
LCM(74936,74947) = ( 74936 × 74947) / 1
LCM(74936,74947) = 5616228392 / 1
LCM(74936,74947) = 5616228392

Least Common Multiple (LCM) of 74936 and 74947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74936 and 74947. First we will calculate the prime factors of 74936 and 74947.

Prime Factorization of 74936

Prime Factorization of 74947

Now multiplying the highest exponent prime factors to calculate the LCM of 74936 and 74947.

LCM(74936,74947) = 2³ × 17¹ × 19¹ × 29¹ × 149¹ × 503¹
LCM(74936,74947) = 5616228392