What is the Least Common Multiple of 84046 and 84060?

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 84046 and 84060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84046 and 84060, than apply into the LCM equation.

GCF(84046,84060) = 2
LCM(84046,84060) = ( 84046 × 84060) / 2
LCM(84046,84060) = 7064906760 / 2
LCM(84046,84060) = 3532453380

Least Common Multiple (LCM) of 84046 and 84060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84046 and 84060. First we will calculate the prime factors of 84046 and 84060.

Prime Factorization of 84046

Prime Factorization of 84060

Now multiplying the highest exponent prime factors to calculate the LCM of 84046 and 84060.

LCM(84046,84060) = 2² × 42023¹ × 3² × 5¹ × 467¹
LCM(84046,84060) = 3532453380