What is the Least Common Multiple of 84056 and 84070?

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 84056 and 84070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84056 and 84070, than apply into the LCM equation.

GCF(84056,84070) = 14
LCM(84056,84070) = ( 84056 × 84070) / 14
LCM(84056,84070) = 7066587920 / 14
LCM(84056,84070) = 504756280

Least Common Multiple (LCM) of 84056 and 84070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84056 and 84070. First we will calculate the prime factors of 84056 and 84070.

Prime Factorization of 84056

Prime Factorization of 84070

Now multiplying the highest exponent prime factors to calculate the LCM of 84056 and 84070.

LCM(84056,84070) = 2³ × 7¹ × 19¹ × 79¹ × 5¹ × 1201¹
LCM(84056,84070) = 504756280