What is the Least Common Multiple of 76478 and 76496?

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 76478 and 76496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76478 and 76496, than apply into the LCM equation.

GCF(76478,76496) = 2
LCM(76478,76496) = ( 76478 × 76496) / 2
LCM(76478,76496) = 5850261088 / 2
LCM(76478,76496) = 2925130544

Least Common Multiple (LCM) of 76478 and 76496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76478 and 76496. First we will calculate the prime factors of 76478 and 76496.

Prime Factorization of 76478

Prime Factorization of 76496

Now multiplying the highest exponent prime factors to calculate the LCM of 76478 and 76496.

LCM(76478,76496) = 2⁴ × 38239¹ × 7¹ × 683¹
LCM(76478,76496) = 2925130544