What is the Least Common Multiple of 74628 and 74633?

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 74628 and 74633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74628 and 74633, than apply into the LCM equation.

GCF(74628,74633) = 1
LCM(74628,74633) = ( 74628 × 74633) / 1
LCM(74628,74633) = 5569711524 / 1
LCM(74628,74633) = 5569711524

Least Common Multiple (LCM) of 74628 and 74633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74628 and 74633. First we will calculate the prime factors of 74628 and 74633.

Prime Factorization of 74628

Prime Factorization of 74633

Now multiplying the highest exponent prime factors to calculate the LCM of 74628 and 74633.

LCM(74628,74633) = 2² × 3³ × 691¹ × 13¹ × 5741¹
LCM(74628,74633) = 5569711524