What is the Least Common Multiple of 8040 and 8050?

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 8040 and 8050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8040 and 8050, than apply into the LCM equation.

GCF(8040,8050) = 10
LCM(8040,8050) = ( 8040 × 8050) / 10
LCM(8040,8050) = 64722000 / 10
LCM(8040,8050) = 6472200

Least Common Multiple (LCM) of 8040 and 8050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8040 and 8050. First we will calculate the prime factors of 8040 and 8050.

Prime Factorization of 8040

Prime Factorization of 8050

Now multiplying the highest exponent prime factors to calculate the LCM of 8040 and 8050.

LCM(8040,8050) = 2³ × 3¹ × 5² × 67¹ × 7¹ × 23¹
LCM(8040,8050) = 6472200