What is the Least Common Multiple of 64182 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 64182 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 64182 and 64201, than apply into the LCM equation.

GCF(64182,64201) = 19
LCM(64182,64201) = ( 64182 × 64201) / 19
LCM(64182,64201) = 4120548582 / 19
LCM(64182,64201) = 216870978

Least Common Multiple (LCM) of 64182 and 64201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64182 and 64201. First we will calculate the prime factors of 64182 and 64201.

Prime Factorization of 64182

Prime Factorization of 64201

Now multiplying the highest exponent prime factors to calculate the LCM of 64182 and 64201.

LCM(64182,64201) = 2¹ × 3¹ × 19¹ × 563¹ × 31¹ × 109¹
LCM(64182,64201) = 216870978