What is the Least Common Multiple of 76419 and 76423?

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 76419 and 76423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76419 and 76423, than apply into the LCM equation.

GCF(76419,76423) = 1
LCM(76419,76423) = ( 76419 × 76423) / 1
LCM(76419,76423) = 5840169237 / 1
LCM(76419,76423) = 5840169237

Least Common Multiple (LCM) of 76419 and 76423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76419 and 76423. First we will calculate the prime factors of 76419 and 76423.

Prime Factorization of 76419

Prime Factorization of 76423

Now multiplying the highest exponent prime factors to calculate the LCM of 76419 and 76423.

LCM(76419,76423) = 3² × 7¹ × 1213¹ × 76423¹
LCM(76419,76423) = 5840169237