What is the Least Common Multiple of 49231 and 49244?

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 49231 and 49244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49231 and 49244, than apply into the LCM equation.

GCF(49231,49244) = 13
LCM(49231,49244) = ( 49231 × 49244) / 13
LCM(49231,49244) = 2424331364 / 13
LCM(49231,49244) = 186487028

Least Common Multiple (LCM) of 49231 and 49244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49231 and 49244. First we will calculate the prime factors of 49231 and 49244.

Prime Factorization of 49231

Prime Factorization of 49244

Now multiplying the highest exponent prime factors to calculate the LCM of 49231 and 49244.

LCM(49231,49244) = 7¹ × 13¹ × 541¹ × 2² × 947¹
LCM(49231,49244) = 186487028