What is the Least Common Multiple of 52015 and 52035?

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 52015 and 52035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52015 and 52035, than apply into the LCM equation.

GCF(52015,52035) = 5
LCM(52015,52035) = ( 52015 × 52035) / 5
LCM(52015,52035) = 2706600525 / 5
LCM(52015,52035) = 541320105

Least Common Multiple (LCM) of 52015 and 52035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52015 and 52035. First we will calculate the prime factors of 52015 and 52035.

Prime Factorization of 52015

Prime Factorization of 52035

Now multiplying the highest exponent prime factors to calculate the LCM of 52015 and 52035.

LCM(52015,52035) = 5¹ × 101¹ × 103¹ × 3¹ × 3469¹
LCM(52015,52035) = 541320105