What is the Least Common Multiple of 86054 and 86064?

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 86054 and 86064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86054 and 86064, than apply into the LCM equation.

GCF(86054,86064) = 2
LCM(86054,86064) = ( 86054 × 86064) / 2
LCM(86054,86064) = 7406151456 / 2
LCM(86054,86064) = 3703075728

Least Common Multiple (LCM) of 86054 and 86064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86054 and 86064. First we will calculate the prime factors of 86054 and 86064.

Prime Factorization of 86054

Prime Factorization of 86064

Now multiplying the highest exponent prime factors to calculate the LCM of 86054 and 86064.

LCM(86054,86064) = 2⁴ × 17¹ × 2531¹ × 3¹ × 11¹ × 163¹
LCM(86054,86064) = 3703075728