What is the Least Common Multiple of 68320 and 68324?

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 68320 and 68324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68320 and 68324, than apply into the LCM equation.

GCF(68320,68324) = 4
LCM(68320,68324) = ( 68320 × 68324) / 4
LCM(68320,68324) = 4667895680 / 4
LCM(68320,68324) = 1166973920

Least Common Multiple (LCM) of 68320 and 68324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68320 and 68324. First we will calculate the prime factors of 68320 and 68324.

Prime Factorization of 68320

Prime Factorization of 68324

Now multiplying the highest exponent prime factors to calculate the LCM of 68320 and 68324.

LCM(68320,68324) = 2⁵ × 5¹ × 7¹ × 61¹ × 19¹ × 29¹ × 31¹
LCM(68320,68324) = 1166973920