What is the Least Common Multiple of 84030 and 84048?

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 84030 and 84048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84030 and 84048, than apply into the LCM equation.

GCF(84030,84048) = 6
LCM(84030,84048) = ( 84030 × 84048) / 6
LCM(84030,84048) = 7062553440 / 6
LCM(84030,84048) = 1177092240

Least Common Multiple (LCM) of 84030 and 84048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84030 and 84048. First we will calculate the prime factors of 84030 and 84048.

Prime Factorization of 84030

Prime Factorization of 84048

Now multiplying the highest exponent prime factors to calculate the LCM of 84030 and 84048.

LCM(84030,84048) = 2⁴ × 3¹ × 5¹ × 2801¹ × 17¹ × 103¹
LCM(84030,84048) = 1177092240