What is the Least Common Multiple of 74571 and 74590?

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 74571 and 74590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74571 and 74590, than apply into the LCM equation.

GCF(74571,74590) = 1
LCM(74571,74590) = ( 74571 × 74590) / 1
LCM(74571,74590) = 5562250890 / 1
LCM(74571,74590) = 5562250890

Least Common Multiple (LCM) of 74571 and 74590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74571 and 74590. First we will calculate the prime factors of 74571 and 74590.

Prime Factorization of 74571

Prime Factorization of 74590

Now multiplying the highest exponent prime factors to calculate the LCM of 74571 and 74590.

LCM(74571,74590) = 3¹ × 7¹ × 53¹ × 67¹ × 2¹ × 5¹ × 7459¹
LCM(74571,74590) = 5562250890