What is the Least Common Multiple of 67201 and 67218?

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 67201 and 67218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67201 and 67218, than apply into the LCM equation.

GCF(67201,67218) = 17
LCM(67201,67218) = ( 67201 × 67218) / 17
LCM(67201,67218) = 4517116818 / 17
LCM(67201,67218) = 265712754

Least Common Multiple (LCM) of 67201 and 67218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67201 and 67218. First we will calculate the prime factors of 67201 and 67218.

Prime Factorization of 67201

Prime Factorization of 67218

Now multiplying the highest exponent prime factors to calculate the LCM of 67201 and 67218.

LCM(67201,67218) = 17¹ × 59¹ × 67¹ × 2¹ × 3¹ × 659¹
LCM(67201,67218) = 265712754