What is the Least Common Multiple of 74529 and 74538?

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 74529 and 74538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74529 and 74538, than apply into the LCM equation.

GCF(74529,74538) = 9
LCM(74529,74538) = ( 74529 × 74538) / 9
LCM(74529,74538) = 5555242602 / 9
LCM(74529,74538) = 617249178

Least Common Multiple (LCM) of 74529 and 74538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74529 and 74538. First we will calculate the prime factors of 74529 and 74538.

Prime Factorization of 74529

Prime Factorization of 74538

Now multiplying the highest exponent prime factors to calculate the LCM of 74529 and 74538.

LCM(74529,74538) = 3² × 7² × 13² × 2¹ × 41¹ × 101¹
LCM(74529,74538) = 617249178