What is the Least Common Multiple of 76488 and 76497?

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 76488 and 76497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76488 and 76497, than apply into the LCM equation.

GCF(76488,76497) = 3
LCM(76488,76497) = ( 76488 × 76497) / 3
LCM(76488,76497) = 5851102536 / 3
LCM(76488,76497) = 1950367512

Least Common Multiple (LCM) of 76488 and 76497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76488 and 76497. First we will calculate the prime factors of 76488 and 76497.

Prime Factorization of 76488

Prime Factorization of 76497

Now multiplying the highest exponent prime factors to calculate the LCM of 76488 and 76497.

LCM(76488,76497) = 2³ × 3¹ × 3187¹ × 43¹ × 593¹
LCM(76488,76497) = 1950367512