What is the Least Common Multiple of 85095 and 85105?

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 85095 and 85105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85095 and 85105, than apply into the LCM equation.

GCF(85095,85105) = 5
LCM(85095,85105) = ( 85095 × 85105) / 5
LCM(85095,85105) = 7242009975 / 5
LCM(85095,85105) = 1448401995

Least Common Multiple (LCM) of 85095 and 85105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85095 and 85105. First we will calculate the prime factors of 85095 and 85105.

Prime Factorization of 85095

Prime Factorization of 85105

Now multiplying the highest exponent prime factors to calculate the LCM of 85095 and 85105.

LCM(85095,85105) = 3² × 5¹ × 31¹ × 61¹ × 17021¹
LCM(85095,85105) = 1448401995