What is the Least Common Multiple of 74014 and 74030?

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 74014 and 74030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74014 and 74030, than apply into the LCM equation.

GCF(74014,74030) = 2
LCM(74014,74030) = ( 74014 × 74030) / 2
LCM(74014,74030) = 5479256420 / 2
LCM(74014,74030) = 2739628210

Least Common Multiple (LCM) of 74014 and 74030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74014 and 74030. First we will calculate the prime factors of 74014 and 74030.

Prime Factorization of 74014

Prime Factorization of 74030

Now multiplying the highest exponent prime factors to calculate the LCM of 74014 and 74030.

LCM(74014,74030) = 2¹ × 23¹ × 1609¹ × 5¹ × 11¹ × 673¹
LCM(74014,74030) = 2739628210