What is the Least Common Multiple of 84074 and 84094?

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 84074 and 84094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84074 and 84094, than apply into the LCM equation.

GCF(84074,84094) = 2
LCM(84074,84094) = ( 84074 × 84094) / 2
LCM(84074,84094) = 7070118956 / 2
LCM(84074,84094) = 3535059478

Least Common Multiple (LCM) of 84074 and 84094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84074 and 84094. First we will calculate the prime factors of 84074 and 84094.

Prime Factorization of 84074

Prime Factorization of 84094

Now multiplying the highest exponent prime factors to calculate the LCM of 84074 and 84094.

LCM(84074,84094) = 2¹ × 127¹ × 331¹ × 19¹ × 2213¹
LCM(84074,84094) = 3535059478