What is the Least Common Multiple of 77440 and 77448?

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 77440 and 77448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77440 and 77448, than apply into the LCM equation.

GCF(77440,77448) = 8
LCM(77440,77448) = ( 77440 × 77448) / 8
LCM(77440,77448) = 5997573120 / 8
LCM(77440,77448) = 749696640

Least Common Multiple (LCM) of 77440 and 77448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77440 and 77448. First we will calculate the prime factors of 77440 and 77448.

Prime Factorization of 77440

Prime Factorization of 77448

Now multiplying the highest exponent prime factors to calculate the LCM of 77440 and 77448.

LCM(77440,77448) = 2⁷ × 5¹ × 11² × 3¹ × 7¹ × 461¹
LCM(77440,77448) = 749696640