What is the Least Common Multiple of 85936 and 85942?

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 85942 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 85942, than apply into the LCM equation.

GCF(85936,85942) = 2
LCM(85936,85942) = ( 85936 × 85942) / 2
LCM(85936,85942) = 7385511712 / 2
LCM(85936,85942) = 3692755856

Least Common Multiple (LCM) of 85936 and 85942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85936 and 85942. First we will calculate the prime factors of 85936 and 85942.

Prime Factorization of 85936

Prime Factorization of 85942

Now multiplying the highest exponent prime factors to calculate the LCM of 85936 and 85942.

LCM(85936,85942) = 2⁴ × 41¹ × 131¹ × 97¹ × 443¹
LCM(85936,85942) = 3692755856