What is the Least Common Multiple of 48030 and 48040?

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 48030 and 48040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48030 and 48040, than apply into the LCM equation.

GCF(48030,48040) = 10
LCM(48030,48040) = ( 48030 × 48040) / 10
LCM(48030,48040) = 2307361200 / 10
LCM(48030,48040) = 230736120

Least Common Multiple (LCM) of 48030 and 48040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48030 and 48040. First we will calculate the prime factors of 48030 and 48040.

Prime Factorization of 48030

Prime Factorization of 48040

Now multiplying the highest exponent prime factors to calculate the LCM of 48030 and 48040.

LCM(48030,48040) = 2³ × 3¹ × 5¹ × 1601¹ × 1201¹
LCM(48030,48040) = 230736120