What is the Least Common Multiple of 74016 and 74034?

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 74016 and 74034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74016 and 74034, than apply into the LCM equation.

GCF(74016,74034) = 18
LCM(74016,74034) = ( 74016 × 74034) / 18
LCM(74016,74034) = 5479700544 / 18
LCM(74016,74034) = 304427808

Least Common Multiple (LCM) of 74016 and 74034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74016 and 74034. First we will calculate the prime factors of 74016 and 74034.

Prime Factorization of 74016

Prime Factorization of 74034

Now multiplying the highest exponent prime factors to calculate the LCM of 74016 and 74034.

LCM(74016,74034) = 2⁵ × 3⁴ × 257¹ × 457¹
LCM(74016,74034) = 304427808