What is the Least Common Multiple of 49290 and 49298?

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 49290 and 49298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49290 and 49298, than apply into the LCM equation.

GCF(49290,49298) = 2
LCM(49290,49298) = ( 49290 × 49298) / 2
LCM(49290,49298) = 2429898420 / 2
LCM(49290,49298) = 1214949210

Least Common Multiple (LCM) of 49290 and 49298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49290 and 49298. First we will calculate the prime factors of 49290 and 49298.

Prime Factorization of 49290

Prime Factorization of 49298

Now multiplying the highest exponent prime factors to calculate the LCM of 49290 and 49298.

LCM(49290,49298) = 2¹ × 3¹ × 5¹ × 31¹ × 53¹ × 157²
LCM(49290,49298) = 1214949210