What is the Least Common Multiple of 74466 and 74470?

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 74466 and 74470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74466 and 74470, than apply into the LCM equation.

GCF(74466,74470) = 2
LCM(74466,74470) = ( 74466 × 74470) / 2
LCM(74466,74470) = 5545483020 / 2
LCM(74466,74470) = 2772741510

Least Common Multiple (LCM) of 74466 and 74470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74466 and 74470. First we will calculate the prime factors of 74466 and 74470.

Prime Factorization of 74466

Prime Factorization of 74470

Now multiplying the highest exponent prime factors to calculate the LCM of 74466 and 74470.

LCM(74466,74470) = 2¹ × 3³ × 7¹ × 197¹ × 5¹ × 11¹ × 677¹
LCM(74466,74470) = 2772741510