What is the Least Common Multiple of 49078 and 49097?

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 49078 and 49097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49078 and 49097, than apply into the LCM equation.

GCF(49078,49097) = 1
LCM(49078,49097) = ( 49078 × 49097) / 1
LCM(49078,49097) = 2409582566 / 1
LCM(49078,49097) = 2409582566

Least Common Multiple (LCM) of 49078 and 49097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49078 and 49097. First we will calculate the prime factors of 49078 and 49097.

Prime Factorization of 49078

Prime Factorization of 49097

Now multiplying the highest exponent prime factors to calculate the LCM of 49078 and 49097.

LCM(49078,49097) = 2¹ × 53¹ × 463¹ × 29¹ × 1693¹
LCM(49078,49097) = 2409582566