What is the Least Common Multiple of 68628 and 68632?

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 68628 and 68632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68628 and 68632, than apply into the LCM equation.

GCF(68628,68632) = 4
LCM(68628,68632) = ( 68628 × 68632) / 4
LCM(68628,68632) = 4710076896 / 4
LCM(68628,68632) = 1177519224

Least Common Multiple (LCM) of 68628 and 68632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68628 and 68632. First we will calculate the prime factors of 68628 and 68632.

Prime Factorization of 68628

Prime Factorization of 68632

Now multiplying the highest exponent prime factors to calculate the LCM of 68628 and 68632.

LCM(68628,68632) = 2³ × 3¹ × 7¹ × 19¹ × 43¹ × 23¹ × 373¹
LCM(68628,68632) = 1177519224