What is the Least Common Multiple of 78049 and 78063?

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 78049 and 78063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78049 and 78063, than apply into the LCM equation.

GCF(78049,78063) = 1
LCM(78049,78063) = ( 78049 × 78063) / 1
LCM(78049,78063) = 6092739087 / 1
LCM(78049,78063) = 6092739087

Least Common Multiple (LCM) of 78049 and 78063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78049 and 78063. First we will calculate the prime factors of 78049 and 78063.

Prime Factorization of 78049

Prime Factorization of 78063

Now multiplying the highest exponent prime factors to calculate the LCM of 78049 and 78063.

LCM(78049,78063) = 78049¹ × 3¹ × 26021¹
LCM(78049,78063) = 6092739087