What is the Least Common Multiple of 78548 and 78565?

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 78548 and 78565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78548 and 78565, than apply into the LCM equation.

GCF(78548,78565) = 1
LCM(78548,78565) = ( 78548 × 78565) / 1
LCM(78548,78565) = 6171123620 / 1
LCM(78548,78565) = 6171123620

Least Common Multiple (LCM) of 78548 and 78565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78548 and 78565. First we will calculate the prime factors of 78548 and 78565.

Prime Factorization of 78548

Prime Factorization of 78565

Now multiplying the highest exponent prime factors to calculate the LCM of 78548 and 78565.

LCM(78548,78565) = 2² × 73¹ × 269¹ × 5¹ × 19¹ × 827¹
LCM(78548,78565) = 6171123620