What is the Least Common Multiple of 77456 and 77467?

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 77456 and 77467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77456 and 77467, than apply into the LCM equation.

GCF(77456,77467) = 1
LCM(77456,77467) = ( 77456 × 77467) / 1
LCM(77456,77467) = 6000283952 / 1
LCM(77456,77467) = 6000283952

Least Common Multiple (LCM) of 77456 and 77467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77456 and 77467. First we will calculate the prime factors of 77456 and 77467.

Prime Factorization of 77456

Prime Factorization of 77467

Now multiplying the highest exponent prime factors to calculate the LCM of 77456 and 77467.

LCM(77456,77467) = 2⁴ × 47¹ × 103¹ × 13¹ × 59¹ × 101¹
LCM(77456,77467) = 6000283952