What is the Least Common Multiple of 67257 and 67263?

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 67257 and 67263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67257 and 67263, than apply into the LCM equation.

GCF(67257,67263) = 3
LCM(67257,67263) = ( 67257 × 67263) / 3
LCM(67257,67263) = 4523907591 / 3
LCM(67257,67263) = 1507969197

Least Common Multiple (LCM) of 67257 and 67263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67257 and 67263. First we will calculate the prime factors of 67257 and 67263.

Prime Factorization of 67257

Prime Factorization of 67263

Now multiplying the highest exponent prime factors to calculate the LCM of 67257 and 67263.

LCM(67257,67263) = 3³ × 47¹ × 53¹ × 7¹ × 3203¹
LCM(67257,67263) = 1507969197