What is the Least Common Multiple of 67314 and 67330?

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 67314 and 67330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67314 and 67330, than apply into the LCM equation.

GCF(67314,67330) = 2
LCM(67314,67330) = ( 67314 × 67330) / 2
LCM(67314,67330) = 4532251620 / 2
LCM(67314,67330) = 2266125810

Least Common Multiple (LCM) of 67314 and 67330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67314 and 67330. First we will calculate the prime factors of 67314 and 67330.

Prime Factorization of 67314

Prime Factorization of 67330

Now multiplying the highest exponent prime factors to calculate the LCM of 67314 and 67330.

LCM(67314,67330) = 2¹ × 3¹ × 13¹ × 863¹ × 5¹ × 6733¹
LCM(67314,67330) = 2266125810