What is the Least Common Multiple of 68256 and 68270?

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 68256 and 68270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68256 and 68270, than apply into the LCM equation.

GCF(68256,68270) = 2
LCM(68256,68270) = ( 68256 × 68270) / 2
LCM(68256,68270) = 4659837120 / 2
LCM(68256,68270) = 2329918560

Least Common Multiple (LCM) of 68256 and 68270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68256 and 68270. First we will calculate the prime factors of 68256 and 68270.

Prime Factorization of 68256

Prime Factorization of 68270

Now multiplying the highest exponent prime factors to calculate the LCM of 68256 and 68270.

LCM(68256,68270) = 2⁵ × 3³ × 79¹ × 5¹ × 6827¹
LCM(68256,68270) = 2329918560