What is the Least Common Multiple of 76496 and 76504?

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 76496 and 76504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76496 and 76504, than apply into the LCM equation.

GCF(76496,76504) = 8
LCM(76496,76504) = ( 76496 × 76504) / 8
LCM(76496,76504) = 5852249984 / 8
LCM(76496,76504) = 731531248

Least Common Multiple (LCM) of 76496 and 76504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76496 and 76504. First we will calculate the prime factors of 76496 and 76504.

Prime Factorization of 76496

Prime Factorization of 76504

Now multiplying the highest exponent prime factors to calculate the LCM of 76496 and 76504.

LCM(76496,76504) = 2⁴ × 7¹ × 683¹ × 73¹ × 131¹
LCM(76496,76504) = 731531248