What is the Least Common Multiple of 67270 and 67284?

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 67270 and 67284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67270 and 67284, than apply into the LCM equation.

GCF(67270,67284) = 14
LCM(67270,67284) = ( 67270 × 67284) / 14
LCM(67270,67284) = 4526194680 / 14
LCM(67270,67284) = 323299620

Least Common Multiple (LCM) of 67270 and 67284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67270 and 67284. First we will calculate the prime factors of 67270 and 67284.

Prime Factorization of 67270

Prime Factorization of 67284

Now multiplying the highest exponent prime factors to calculate the LCM of 67270 and 67284.

LCM(67270,67284) = 2² × 5¹ × 7¹ × 31² × 3³ × 89¹
LCM(67270,67284) = 323299620