What is the Least Common Multiple of 85054 and 85070?

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 85054 and 85070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85054 and 85070, than apply into the LCM equation.

GCF(85054,85070) = 2
LCM(85054,85070) = ( 85054 × 85070) / 2
LCM(85054,85070) = 7235543780 / 2
LCM(85054,85070) = 3617771890

Least Common Multiple (LCM) of 85054 and 85070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85054 and 85070. First we will calculate the prime factors of 85054 and 85070.

Prime Factorization of 85054

Prime Factorization of 85070

Now multiplying the highest exponent prime factors to calculate the LCM of 85054 and 85070.

LCM(85054,85070) = 2¹ × 23¹ × 43² × 5¹ × 47¹ × 181¹
LCM(85054,85070) = 3617771890