What is the Least Common Multiple of 74630 and 74650?

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 74630 and 74650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74630 and 74650, than apply into the LCM equation.

GCF(74630,74650) = 10
LCM(74630,74650) = ( 74630 × 74650) / 10
LCM(74630,74650) = 5571129500 / 10
LCM(74630,74650) = 557112950

Least Common Multiple (LCM) of 74630 and 74650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74630 and 74650. First we will calculate the prime factors of 74630 and 74650.

Prime Factorization of 74630

Prime Factorization of 74650

Now multiplying the highest exponent prime factors to calculate the LCM of 74630 and 74650.

LCM(74630,74650) = 2¹ × 5² × 17¹ × 439¹ × 1493¹
LCM(74630,74650) = 557112950