What is the Least Common Multiple of 64168 and 64172?

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 64168 and 64172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64168 and 64172, than apply into the LCM equation.

GCF(64168,64172) = 4
LCM(64168,64172) = ( 64168 × 64172) / 4
LCM(64168,64172) = 4117788896 / 4
LCM(64168,64172) = 1029447224

Least Common Multiple (LCM) of 64168 and 64172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64168 and 64172. First we will calculate the prime factors of 64168 and 64172.

Prime Factorization of 64168

Prime Factorization of 64172

Now multiplying the highest exponent prime factors to calculate the LCM of 64168 and 64172.

LCM(64168,64172) = 2³ × 13¹ × 617¹ × 61¹ × 263¹
LCM(64168,64172) = 1029447224