What is the Least Common Multiple of 86064 and 86077?

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 86064 and 86077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86064 and 86077, than apply into the LCM equation.

GCF(86064,86077) = 1
LCM(86064,86077) = ( 86064 × 86077) / 1
LCM(86064,86077) = 7408130928 / 1
LCM(86064,86077) = 7408130928

Least Common Multiple (LCM) of 86064 and 86077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86064 and 86077. First we will calculate the prime factors of 86064 and 86077.

Prime Factorization of 86064

Prime Factorization of 86077

Now multiplying the highest exponent prime factors to calculate the LCM of 86064 and 86077.

LCM(86064,86077) = 2⁴ × 3¹ × 11¹ × 163¹ × 86077¹
LCM(86064,86077) = 7408130928