What is the Least Common Multiple of 67264 and 67270?

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 67264 and 67270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67264 and 67270, than apply into the LCM equation.

GCF(67264,67270) = 2
LCM(67264,67270) = ( 67264 × 67270) / 2
LCM(67264,67270) = 4524849280 / 2
LCM(67264,67270) = 2262424640

Least Common Multiple (LCM) of 67264 and 67270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67264 and 67270. First we will calculate the prime factors of 67264 and 67270.

Prime Factorization of 67264

Prime Factorization of 67270

Now multiplying the highest exponent prime factors to calculate the LCM of 67264 and 67270.

LCM(67264,67270) = 2⁶ × 1051¹ × 5¹ × 7¹ × 31²
LCM(67264,67270) = 2262424640