What is the Least Common Multiple of 74458 and 74464?

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 74458 and 74464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74458 and 74464, than apply into the LCM equation.

GCF(74458,74464) = 2
LCM(74458,74464) = ( 74458 × 74464) / 2
LCM(74458,74464) = 5544440512 / 2
LCM(74458,74464) = 2772220256

Least Common Multiple (LCM) of 74458 and 74464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74458 and 74464. First we will calculate the prime factors of 74458 and 74464.

Prime Factorization of 74458

Prime Factorization of 74464

Now multiplying the highest exponent prime factors to calculate the LCM of 74458 and 74464.

LCM(74458,74464) = 2⁵ × 59¹ × 631¹ × 13¹ × 179¹
LCM(74458,74464) = 2772220256