What is the Least Common Multiple of 76049 and 76063?

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 76049 and 76063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76049 and 76063, than apply into the LCM equation.

GCF(76049,76063) = 1
LCM(76049,76063) = ( 76049 × 76063) / 1
LCM(76049,76063) = 5784515087 / 1
LCM(76049,76063) = 5784515087

Least Common Multiple (LCM) of 76049 and 76063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76049 and 76063. First we will calculate the prime factors of 76049 and 76063.

Prime Factorization of 76049

Prime Factorization of 76063

Now multiplying the highest exponent prime factors to calculate the LCM of 76049 and 76063.

LCM(76049,76063) = 113¹ × 673¹ × 13¹ × 5851¹
LCM(76049,76063) = 5784515087