What is the Least Common Multiple of 74805 and 74814?

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 74805 and 74814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74805 and 74814, than apply into the LCM equation.

GCF(74805,74814) = 3
LCM(74805,74814) = ( 74805 × 74814) / 3
LCM(74805,74814) = 5596461270 / 3
LCM(74805,74814) = 1865487090

Least Common Multiple (LCM) of 74805 and 74814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74805 and 74814. First we will calculate the prime factors of 74805 and 74814.

Prime Factorization of 74805

Prime Factorization of 74814

Now multiplying the highest exponent prime factors to calculate the LCM of 74805 and 74814.

LCM(74805,74814) = 3¹ × 5¹ × 4987¹ × 2¹ × 37¹ × 337¹
LCM(74805,74814) = 1865487090