What is the Least Common Multiple of 8030 and 8040?

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 8030 and 8040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8030 and 8040, than apply into the LCM equation.

GCF(8030,8040) = 10
LCM(8030,8040) = ( 8030 × 8040) / 10
LCM(8030,8040) = 64561200 / 10
LCM(8030,8040) = 6456120

Least Common Multiple (LCM) of 8030 and 8040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8030 and 8040. First we will calculate the prime factors of 8030 and 8040.

Prime Factorization of 8030

Prime Factorization of 8040

Now multiplying the highest exponent prime factors to calculate the LCM of 8030 and 8040.

LCM(8030,8040) = 2³ × 5¹ × 11¹ × 73¹ × 3¹ × 67¹
LCM(8030,8040) = 6456120