What is the Least Common Multiple of 85936 and 85951?

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 85936 and 85951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85936 and 85951, than apply into the LCM equation.

GCF(85936,85951) = 1
LCM(85936,85951) = ( 85936 × 85951) / 1
LCM(85936,85951) = 7386285136 / 1
LCM(85936,85951) = 7386285136

Least Common Multiple (LCM) of 85936 and 85951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85936 and 85951. First we will calculate the prime factors of 85936 and 85951.

Prime Factorization of 85936

Prime Factorization of 85951

Now multiplying the highest exponent prime factors to calculate the LCM of 85936 and 85951.

LCM(85936,85951) = 2⁴ × 41¹ × 131¹ × 23¹ × 37¹ × 101¹
LCM(85936,85951) = 7386285136