What is the Least Common Multiple of 86932 and 86944?

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 86932 and 86944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86932 and 86944, than apply into the LCM equation.

GCF(86932,86944) = 4
LCM(86932,86944) = ( 86932 × 86944) / 4
LCM(86932,86944) = 7558215808 / 4
LCM(86932,86944) = 1889553952

Least Common Multiple (LCM) of 86932 and 86944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86932 and 86944. First we will calculate the prime factors of 86932 and 86944.

Prime Factorization of 86932

Prime Factorization of 86944

Now multiplying the highest exponent prime factors to calculate the LCM of 86932 and 86944.

LCM(86932,86944) = 2⁵ × 103¹ × 211¹ × 11¹ × 13¹ × 19¹
LCM(86932,86944) = 1889553952