What is the Least Common Multiple of 85645 and 85655?

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 85645 and 85655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85645 and 85655, than apply into the LCM equation.

GCF(85645,85655) = 5
LCM(85645,85655) = ( 85645 × 85655) / 5
LCM(85645,85655) = 7335922475 / 5
LCM(85645,85655) = 1467184495

Least Common Multiple (LCM) of 85645 and 85655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85645 and 85655. First we will calculate the prime factors of 85645 and 85655.

Prime Factorization of 85645

Prime Factorization of 85655

Now multiplying the highest exponent prime factors to calculate the LCM of 85645 and 85655.

LCM(85645,85655) = 5¹ × 7¹ × 2447¹ × 37¹ × 463¹
LCM(85645,85655) = 1467184495