What is the Least Common Multiple of 77454 and 77464?

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 77454 and 77464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77454 and 77464, than apply into the LCM equation.

GCF(77454,77464) = 2
LCM(77454,77464) = ( 77454 × 77464) / 2
LCM(77454,77464) = 5999896656 / 2
LCM(77454,77464) = 2999948328

Least Common Multiple (LCM) of 77454 and 77464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77454 and 77464. First we will calculate the prime factors of 77454 and 77464.

Prime Factorization of 77454

Prime Factorization of 77464

Now multiplying the highest exponent prime factors to calculate the LCM of 77454 and 77464.

LCM(77454,77464) = 2³ × 3² × 13¹ × 331¹ × 23¹ × 421¹
LCM(77454,77464) = 2999948328