What is the Least Common Multiple of 89264 and 89278?

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 89264 and 89278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89264 and 89278, than apply into the LCM equation.

GCF(89264,89278) = 14
LCM(89264,89278) = ( 89264 × 89278) / 14
LCM(89264,89278) = 7969311392 / 14
LCM(89264,89278) = 569236528

Least Common Multiple (LCM) of 89264 and 89278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89264 and 89278. First we will calculate the prime factors of 89264 and 89278.

Prime Factorization of 89264

Prime Factorization of 89278

Now multiplying the highest exponent prime factors to calculate the LCM of 89264 and 89278.

LCM(89264,89278) = 2⁴ × 7² × 797¹ × 911¹
LCM(89264,89278) = 569236528