What is the Least Common Multiple of 77504 and 77512?

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 77504 and 77512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77504 and 77512, than apply into the LCM equation.

GCF(77504,77512) = 8
LCM(77504,77512) = ( 77504 × 77512) / 8
LCM(77504,77512) = 6007490048 / 8
LCM(77504,77512) = 750936256

Least Common Multiple (LCM) of 77504 and 77512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77504 and 77512. First we will calculate the prime factors of 77504 and 77512.

Prime Factorization of 77504

Prime Factorization of 77512

Now multiplying the highest exponent prime factors to calculate the LCM of 77504 and 77512.

LCM(77504,77512) = 2⁶ × 7¹ × 173¹ × 9689¹
LCM(77504,77512) = 750936256