What is the Least Common Multiple of 85509 and 85516?

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 85509 and 85516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85509 and 85516, than apply into the LCM equation.

GCF(85509,85516) = 1
LCM(85509,85516) = ( 85509 × 85516) / 1
LCM(85509,85516) = 7312387644 / 1
LCM(85509,85516) = 7312387644

Least Common Multiple (LCM) of 85509 and 85516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85509 and 85516. First we will calculate the prime factors of 85509 and 85516.

Prime Factorization of 85509

Prime Factorization of 85516

Now multiplying the highest exponent prime factors to calculate the LCM of 85509 and 85516.

LCM(85509,85516) = 3³ × 3167¹ × 2² × 21379¹
LCM(85509,85516) = 7312387644