What is the Least Common Multiple of 67298 and 67307?

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 67298 and 67307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67298 and 67307, than apply into the LCM equation.

GCF(67298,67307) = 1
LCM(67298,67307) = ( 67298 × 67307) / 1
LCM(67298,67307) = 4529626486 / 1
LCM(67298,67307) = 4529626486

Least Common Multiple (LCM) of 67298 and 67307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67298 and 67307. First we will calculate the prime factors of 67298 and 67307.

Prime Factorization of 67298

Prime Factorization of 67307

Now multiplying the highest exponent prime factors to calculate the LCM of 67298 and 67307.

LCM(67298,67307) = 2¹ × 7¹ × 11¹ × 19¹ × 23¹ × 67307¹
LCM(67298,67307) = 4529626486