What is the Least Common Multiple of 77456 and 77465?

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 77465 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 77465, than apply into the LCM equation.

GCF(77456,77465) = 1
LCM(77456,77465) = ( 77456 × 77465) / 1
LCM(77456,77465) = 6000129040 / 1
LCM(77456,77465) = 6000129040

Least Common Multiple (LCM) of 77456 and 77465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77456 and 77465. First we will calculate the prime factors of 77456 and 77465.

Prime Factorization of 77456

Prime Factorization of 77465

Now multiplying the highest exponent prime factors to calculate the LCM of 77456 and 77465.

LCM(77456,77465) = 2⁴ × 47¹ × 103¹ × 5¹ × 15493¹
LCM(77456,77465) = 6000129040