What is the Least Common Multiple of 84060 and 84074?

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 84060 and 84074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84060 and 84074, than apply into the LCM equation.

GCF(84060,84074) = 2
LCM(84060,84074) = ( 84060 × 84074) / 2
LCM(84060,84074) = 7067260440 / 2
LCM(84060,84074) = 3533630220

Least Common Multiple (LCM) of 84060 and 84074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84060 and 84074. First we will calculate the prime factors of 84060 and 84074.

Prime Factorization of 84060

Prime Factorization of 84074

Now multiplying the highest exponent prime factors to calculate the LCM of 84060 and 84074.

LCM(84060,84074) = 2² × 3² × 5¹ × 467¹ × 127¹ × 331¹
LCM(84060,84074) = 3533630220