What is the Least Common Multiple of 86478 and 86494?

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 86478 and 86494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86478 and 86494, than apply into the LCM equation.

GCF(86478,86494) = 2
LCM(86478,86494) = ( 86478 × 86494) / 2
LCM(86478,86494) = 7479828132 / 2
LCM(86478,86494) = 3739914066

Least Common Multiple (LCM) of 86478 and 86494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86478 and 86494. First we will calculate the prime factors of 86478 and 86494.

Prime Factorization of 86478

Prime Factorization of 86494

Now multiplying the highest exponent prime factors to calculate the LCM of 86478 and 86494.

LCM(86478,86494) = 2¹ × 3¹ × 7¹ × 29¹ × 71¹ × 59¹ × 733¹
LCM(86478,86494) = 3739914066