What is the Least Common Multiple of 24040 and 24050?

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 24040 and 24050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24040 and 24050, than apply into the LCM equation.

GCF(24040,24050) = 10
LCM(24040,24050) = ( 24040 × 24050) / 10
LCM(24040,24050) = 578162000 / 10
LCM(24040,24050) = 57816200

Least Common Multiple (LCM) of 24040 and 24050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24040 and 24050. First we will calculate the prime factors of 24040 and 24050.

Prime Factorization of 24040

Prime Factorization of 24050

Now multiplying the highest exponent prime factors to calculate the LCM of 24040 and 24050.

LCM(24040,24050) = 2³ × 5² × 601¹ × 13¹ × 37¹
LCM(24040,24050) = 57816200