What is the Least Common Multiple of 67097 and 67109?

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 67097 and 67109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67097 and 67109, than apply into the LCM equation.

GCF(67097,67109) = 1
LCM(67097,67109) = ( 67097 × 67109) / 1
LCM(67097,67109) = 4502812573 / 1
LCM(67097,67109) = 4502812573

Least Common Multiple (LCM) of 67097 and 67109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67097 and 67109. First we will calculate the prime factors of 67097 and 67109.

Prime Factorization of 67097

Prime Factorization of 67109

Now multiplying the highest exponent prime factors to calculate the LCM of 67097 and 67109.

LCM(67097,67109) = 229¹ × 293¹ × 7¹ × 9587¹
LCM(67097,67109) = 4502812573