What is the Least Common Multiple of 85415 and 85420?

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 85415 and 85420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85415 and 85420, than apply into the LCM equation.

GCF(85415,85420) = 5
LCM(85415,85420) = ( 85415 × 85420) / 5
LCM(85415,85420) = 7296149300 / 5
LCM(85415,85420) = 1459229860

Least Common Multiple (LCM) of 85415 and 85420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85415 and 85420. First we will calculate the prime factors of 85415 and 85420.

Prime Factorization of 85415

Prime Factorization of 85420

Now multiplying the highest exponent prime factors to calculate the LCM of 85415 and 85420.

LCM(85415,85420) = 5¹ × 11¹ × 1553¹ × 2² × 4271¹
LCM(85415,85420) = 1459229860