What is the Least Common Multiple of 85520 and 85538?

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 85520 and 85538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85520 and 85538, than apply into the LCM equation.

GCF(85520,85538) = 2
LCM(85520,85538) = ( 85520 × 85538) / 2
LCM(85520,85538) = 7315209760 / 2
LCM(85520,85538) = 3657604880

Least Common Multiple (LCM) of 85520 and 85538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85520 and 85538. First we will calculate the prime factors of 85520 and 85538.

Prime Factorization of 85520

Prime Factorization of 85538

Now multiplying the highest exponent prime factors to calculate the LCM of 85520 and 85538.

LCM(85520,85538) = 2⁴ × 5¹ × 1069¹ × 19¹ × 2251¹
LCM(85520,85538) = 3657604880