What is the Least Common Multiple of 60510 and 60525?

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 60510 and 60525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60510 and 60525, than apply into the LCM equation.

GCF(60510,60525) = 15
LCM(60510,60525) = ( 60510 × 60525) / 15
LCM(60510,60525) = 3662367750 / 15
LCM(60510,60525) = 244157850

Least Common Multiple (LCM) of 60510 and 60525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60510 and 60525. First we will calculate the prime factors of 60510 and 60525.

Prime Factorization of 60510

Prime Factorization of 60525

Now multiplying the highest exponent prime factors to calculate the LCM of 60510 and 60525.

LCM(60510,60525) = 2¹ × 3² × 5² × 2017¹ × 269¹
LCM(60510,60525) = 244157850