What is the Least Common Multiple of 85540 and 85558?

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 85540 and 85558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85540 and 85558, than apply into the LCM equation.

GCF(85540,85558) = 2
LCM(85540,85558) = ( 85540 × 85558) / 2
LCM(85540,85558) = 7318631320 / 2
LCM(85540,85558) = 3659315660

Least Common Multiple (LCM) of 85540 and 85558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85540 and 85558. First we will calculate the prime factors of 85540 and 85558.

Prime Factorization of 85540

Prime Factorization of 85558

Now multiplying the highest exponent prime factors to calculate the LCM of 85540 and 85558.

LCM(85540,85558) = 2² × 5¹ × 7¹ × 13¹ × 47¹ × 11¹ × 3889¹
LCM(85540,85558) = 3659315660