What is the Least Common Multiple of 64189 and 64201?

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 64189 and 64201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64189 and 64201, than apply into the LCM equation.

GCF(64189,64201) = 1
LCM(64189,64201) = ( 64189 × 64201) / 1
LCM(64189,64201) = 4120997989 / 1
LCM(64189,64201) = 4120997989

Least Common Multiple (LCM) of 64189 and 64201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64189 and 64201. First we will calculate the prime factors of 64189 and 64201.

Prime Factorization of 64189

Prime Factorization of 64201

Now multiplying the highest exponent prime factors to calculate the LCM of 64189 and 64201.

LCM(64189,64201) = 64189¹ × 19¹ × 31¹ × 109¹
LCM(64189,64201) = 4120997989