What is the Least Common Multiple of 36160 and 36172?

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 36160 and 36172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36160 and 36172, than apply into the LCM equation.

GCF(36160,36172) = 4
LCM(36160,36172) = ( 36160 × 36172) / 4
LCM(36160,36172) = 1307979520 / 4
LCM(36160,36172) = 326994880

Least Common Multiple (LCM) of 36160 and 36172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36160 and 36172. First we will calculate the prime factors of 36160 and 36172.

Prime Factorization of 36160

Prime Factorization of 36172

Now multiplying the highest exponent prime factors to calculate the LCM of 36160 and 36172.

LCM(36160,36172) = 2⁶ × 5¹ × 113¹ × 9043¹
LCM(36160,36172) = 326994880