What is the Least Common Multiple of 34450 and 34463?

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 34450 and 34463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34450 and 34463, than apply into the LCM equation.

GCF(34450,34463) = 13
LCM(34450,34463) = ( 34450 × 34463) / 13
LCM(34450,34463) = 1187250350 / 13
LCM(34450,34463) = 91326950

Least Common Multiple (LCM) of 34450 and 34463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34450 and 34463. First we will calculate the prime factors of 34450 and 34463.

Prime Factorization of 34450

Prime Factorization of 34463

Now multiplying the highest exponent prime factors to calculate the LCM of 34450 and 34463.

LCM(34450,34463) = 2¹ × 5² × 13¹ × 53¹ × 11¹ × 241¹
LCM(34450,34463) = 91326950