What is the Least Common Multiple of 36272 and 36278?

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 36272 and 36278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36272 and 36278, than apply into the LCM equation.

GCF(36272,36278) = 2
LCM(36272,36278) = ( 36272 × 36278) / 2
LCM(36272,36278) = 1315875616 / 2
LCM(36272,36278) = 657937808

Least Common Multiple (LCM) of 36272 and 36278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36272 and 36278. First we will calculate the prime factors of 36272 and 36278.

Prime Factorization of 36272

Prime Factorization of 36278

Now multiplying the highest exponent prime factors to calculate the LCM of 36272 and 36278.

LCM(36272,36278) = 2⁴ × 2267¹ × 11¹ × 17¹ × 97¹
LCM(36272,36278) = 657937808