What is the Least Common Multiple of 85420 and 85435?

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 85420 and 85435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85420 and 85435, than apply into the LCM equation.

GCF(85420,85435) = 5
LCM(85420,85435) = ( 85420 × 85435) / 5
LCM(85420,85435) = 7297857700 / 5
LCM(85420,85435) = 1459571540

Least Common Multiple (LCM) of 85420 and 85435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85420 and 85435. First we will calculate the prime factors of 85420 and 85435.

Prime Factorization of 85420

Prime Factorization of 85435

Now multiplying the highest exponent prime factors to calculate the LCM of 85420 and 85435.

LCM(85420,85435) = 2² × 5¹ × 4271¹ × 7¹ × 2441¹
LCM(85420,85435) = 1459571540