What is the Least Common Multiple of 74546 and 74550?

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 74546 and 74550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74546 and 74550, than apply into the LCM equation.

GCF(74546,74550) = 2
LCM(74546,74550) = ( 74546 × 74550) / 2
LCM(74546,74550) = 5557404300 / 2
LCM(74546,74550) = 2778702150

Least Common Multiple (LCM) of 74546 and 74550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74546 and 74550. First we will calculate the prime factors of 74546 and 74550.

Prime Factorization of 74546

Prime Factorization of 74550

Now multiplying the highest exponent prime factors to calculate the LCM of 74546 and 74550.

LCM(74546,74550) = 2¹ × 37273¹ × 3¹ × 5² × 7¹ × 71¹
LCM(74546,74550) = 2778702150