What is the Least Common Multiple of 74106 and 74119?

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 74106 and 74119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74106 and 74119, than apply into the LCM equation.

GCF(74106,74119) = 1
LCM(74106,74119) = ( 74106 × 74119) / 1
LCM(74106,74119) = 5492662614 / 1
LCM(74106,74119) = 5492662614

Least Common Multiple (LCM) of 74106 and 74119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74106 and 74119. First we will calculate the prime factors of 74106 and 74119.

Prime Factorization of 74106

Prime Factorization of 74119

Now multiplying the highest exponent prime factors to calculate the LCM of 74106 and 74119.

LCM(74106,74119) = 2¹ × 3² × 23¹ × 179¹ × 19¹ × 47¹ × 83¹
LCM(74106,74119) = 5492662614