What is the Least Common Multiple of 86944 and 86954?

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 86944 and 86954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86944 and 86954, than apply into the LCM equation.

GCF(86944,86954) = 2
LCM(86944,86954) = ( 86944 × 86954) / 2
LCM(86944,86954) = 7560128576 / 2
LCM(86944,86954) = 3780064288

Least Common Multiple (LCM) of 86944 and 86954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86944 and 86954. First we will calculate the prime factors of 86944 and 86954.

Prime Factorization of 86944

Prime Factorization of 86954

Now multiplying the highest exponent prime factors to calculate the LCM of 86944 and 86954.

LCM(86944,86954) = 2⁵ × 11¹ × 13¹ × 19¹ × 7¹ × 6211¹
LCM(86944,86954) = 3780064288