What is the Least Common Multiple of 74834 and 74847?

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 74834 and 74847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74834 and 74847, than apply into the LCM equation.

GCF(74834,74847) = 1
LCM(74834,74847) = ( 74834 × 74847) / 1
LCM(74834,74847) = 5601100398 / 1
LCM(74834,74847) = 5601100398

Least Common Multiple (LCM) of 74834 and 74847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74834 and 74847. First we will calculate the prime factors of 74834 and 74847.

Prime Factorization of 74834

Prime Factorization of 74847

Now multiplying the highest exponent prime factors to calculate the LCM of 74834 and 74847.

LCM(74834,74847) = 2¹ × 17¹ × 31¹ × 71¹ × 3¹ × 61¹ × 409¹
LCM(74834,74847) = 5601100398