What is the Least Common Multiple of 74465 and 74482?

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 74465 and 74482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74465 and 74482, than apply into the LCM equation.

GCF(74465,74482) = 1
LCM(74465,74482) = ( 74465 × 74482) / 1
LCM(74465,74482) = 5546302130 / 1
LCM(74465,74482) = 5546302130

Least Common Multiple (LCM) of 74465 and 74482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74465 and 74482. First we will calculate the prime factors of 74465 and 74482.

Prime Factorization of 74465

Prime Factorization of 74482

Now multiplying the highest exponent prime factors to calculate the LCM of 74465 and 74482.

LCM(74465,74482) = 5¹ × 53¹ × 281¹ × 2¹ × 167¹ × 223¹
LCM(74465,74482) = 5546302130