What is the Least Common Multiple of 50310 and 50324?

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 50310 and 50324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50310 and 50324, than apply into the LCM equation.

GCF(50310,50324) = 2
LCM(50310,50324) = ( 50310 × 50324) / 2
LCM(50310,50324) = 2531800440 / 2
LCM(50310,50324) = 1265900220

Least Common Multiple (LCM) of 50310 and 50324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50310 and 50324. First we will calculate the prime factors of 50310 and 50324.

Prime Factorization of 50310

Prime Factorization of 50324

Now multiplying the highest exponent prime factors to calculate the LCM of 50310 and 50324.

LCM(50310,50324) = 2² × 3² × 5¹ × 13¹ × 43¹ × 23¹ × 547¹
LCM(50310,50324) = 1265900220